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Finding the Fourth Proportional to 49,052.70, 67,691.76 and 27,542.94

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Solution

The fourth proportional to 49,052.70, 67,691.76 and 27,542.94 is: 38,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,052.70 : 67,691.76 = 27,542.94 : x
  2. Step 2: Convert to fraction form
    49,052.70/67,691.76 = 27,542.94/x
  3. Step 3: Cross multiply
    49,052.70x = 67,691.76 × 27,542.94
  4. Step 4: Simplify right side
    49,052.70x = 1,864,430,084.17
  5. Step 5: Solve for x
    x = 1,864,430,084.17/49,052.70
  6. Step 6: Final answer
    x = 38,008.71

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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.