"bourgeois class" is correct and can be used in written English.
You can use it to describe a class in society which is characterized by wealth, property and material possessions. For example, "The bourgeois class in this city controls much of the political power."
It was like a secret meeting of the bourgeois class, in which I would speak frankly about what we were".
The industries that proliferated to serve this expanding population of residents and dependants promoted the rise of a bourgeois class of merchants, artisans and entertainers.
A bourgeois class of perhaps 300m people has emerged and they have their own views on the sort of place China should become.
Although it does not realistically depict contemporary life, New Comedy accurately reflects the disillusioned spirit and moral ambiguity of the bourgeois class of this period.
The scene is a Greco-Roman town in Campania, and the guests, mostly freedmen like their host, are drawn from what corresponded to the petit bourgeois class.
His wares appealed particularly to the rising European bourgeois class, and porcelain and faience factories suffered severely from competition with him.
To be sure, this entire program was completed only by a minority, recruited from the rich aristocratic and urban bourgeois classes.
Wolfe, perhaps more than Thompson, questioned the sincerity of the liberal bourgeois classes dedication to left wing causes, some times to a fault.
In the red corner you had the devout, the poor and the proud; in the white corner the liberal, bourgeois middle class.
In "Jenny Treibel" (1892), a wry social comedy with darker political overtones, a young woman makes a play for the son of the self-absorbed title character, one of the nouveaux-riches bourgeois — a class much loathed by Fontane — who dominated German society after Bismarck unified the nation.
But Orwell was suspicious of this indeterminate, petit-bourgeois class, because it wanted to change itself first and society second, if at all.
