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Finding the Fourth Proportional to 76,414.24, 114,472.25 and 50,039.02

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Solution

The fourth proportional to 76,414.24, 114,472.25 and 50,039.02 is: 74,960.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,414.24 : 114,472.25 = 50,039.02 : x
  2. Step 2: Convert to fraction form
    76,414.24/114,472.25 = 50,039.02/x
  3. Step 3: Cross multiply
    76,414.24x = 114,472.25 × 50,039.02
  4. Step 4: Simplify right side
    76,414.24x = 5,728,078,503.10
  5. Step 5: Solve for x
    x = 5,728,078,503.10/76,414.24
  6. Step 6: Final answer
    x = 74,960.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.