NO
On $50,000/yr, the typical $271,675 home in Detroit, MI needs $81,617/yr ($1,904/mo). Your gap: $-31,617 — housing would be 45.7% of your gross income.
The math
271,675 price − 10% down (27,168) = 244,507 loan
30-yr fixed at 6.69% on 244,507 = 1,576/mo principal+interest
+ 328/mo est. taxes+insurance (1.45%/yr of value — national placeholder)
1,904/mo PITI ÷ 0.28 = 6,801/mo → 81,617/yr required
against Zillow ZHVI 2026-06 and the 6.69% FRED 30-yr rate (2026-08-06).
What salary WOULD clear Detroit, MI?
You need about $81,617/yr for the typical home. That's $31,617 more than $50,000.