Let's solve the expression step-by-step:
The expression is:
\[ 44 + \left( \frac{10.302}{(32 + 19) - 36 \cdot 5} \right) : (29 \cdot 3 - 76) \]
Calculate inside the parentheses:
- \(32 + 19 = 51\)
- \(36 \cdot 5 = 180\)
- So, \(51 - 180 = -129\)
Calculate \(29 \cdot 3 - 76\):
- \(29 \cdot 3 = 87\)
- So, \(87 - 76 = 11\)
Now substitute these values back into the original expression:
\[ 44 + \left( \frac{10.302}{-129} \right) : 11 \]
Calculate \(\frac{10.302}{-129}\): \[ \frac{10.302}{-129} \approx -0.0799 \quad (\text{approximately}) \]
Now divide by 11: \[ -0.0799 : 11 \approx -0.00727 \quad (\text{approximately}) \]
Finally, add this to 44: \[ 44 - 0.00727 \approx 43.99273 \]
So the final result is approximately:
\[ \boxed{43.99273} \]
