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They were the city dwellers.
The capitalist class
The possessive form of the noun bourgeoisie is bourgeoisie's.
Example: The bourgeoisie's vote is very important in this race.
There is no class in between the proletariat (workers) and bourgeoisie (capitalists).
The bourgeoisie is the ruling/leech class. The bourgeoisie lives off the efforts of others and adds little if nothing to society.