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Finding the Fourth Proportional to 107,781.96, 161,672.78 and 32,902.44

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Solution

The fourth proportional to 107,781.96, 161,672.78 and 32,902.44 is: 49,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,781.96 : 161,672.78 = 32,902.44 : x
  2. Step 2: Convert to fraction form
    107,781.96/161,672.78 = 32,902.44/x
  3. Step 3: Cross multiply
    107,781.96x = 161,672.78 × 32,902.44
  4. Step 4: Simplify right side
    107,781.96x = 5,319,428,943.58
  5. Step 5: Solve for x
    x = 5,319,428,943.58/107,781.96
  6. Step 6: Final answer
    x = 49,353.61

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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.