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Finding the Fourth Proportional to 107,781.43, 161,691.76 and 36,700.43

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Solution

The fourth proportional to 107,781.43, 161,691.76 and 36,700.43 is: 55,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,781.43 : 161,691.76 = 36,700.43 : x
  2. Step 2: Convert to fraction form
    107,781.43/161,691.76 = 36,700.43/x
  3. Step 3: Cross multiply
    107,781.43x = 161,691.76 × 36,700.43
  4. Step 4: Simplify right side
    107,781.43x = 5,934,157,431.94
  5. Step 5: Solve for x
    x = 5,934,157,431.94/107,781.43
  6. Step 6: Final answer
    x = 55,057.33

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Why These Related Problems?

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