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Finding the Fourth Proportional to 75,250.38, 103,850.19 and 41,716.38

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Solution

The fourth proportional to 75,250.38, 103,850.19 and 41,716.38 is: 57,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,250.38 : 103,850.19 = 41,716.38 : x
  2. Step 2: Convert to fraction form
    75,250.38/103,850.19 = 41,716.38/x
  3. Step 3: Cross multiply
    75,250.38x = 103,850.19 × 41,716.38
  4. Step 4: Simplify right side
    75,250.38x = 4,332,253,989.11
  5. Step 5: Solve for x
    x = 4,332,253,989.11/75,250.38
  6. Step 6: Final answer
    x = 57,571.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.