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Finding the Fourth Proportional to 37,142.92, 51,222.42 and 29,614.28

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Solution

The fourth proportional to 37,142.92, 51,222.42 and 29,614.28 is: 40,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,142.92 : 51,222.42 = 29,614.28 : x
  2. Step 2: Convert to fraction form
    37,142.92/51,222.42 = 29,614.28/x
  3. Step 3: Cross multiply
    37,142.92x = 51,222.42 × 29,614.28
  4. Step 4: Simplify right side
    37,142.92x = 1,516,915,088.16
  5. Step 5: Solve for x
    x = 1,516,915,088.16/37,142.92
  6. Step 6: Final answer
    x = 40,839.95

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