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Finding the Fourth Proportional to 70,857.38, 97,781.17 and 38,591.27

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Solution

The fourth proportional to 70,857.38, 97,781.17 and 38,591.27 is: 53,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,857.38 : 97,781.17 = 38,591.27 : x
  2. Step 2: Convert to fraction form
    70,857.38/97,781.17 = 38,591.27/x
  3. Step 3: Cross multiply
    70,857.38x = 97,781.17 × 38,591.27
  4. Step 4: Simplify right side
    70,857.38x = 3,773,499,339.43
  5. Step 5: Solve for x
    x = 3,773,499,339.43/70,857.38
  6. Step 6: Final answer
    x = 53,254.86

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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.