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Finding the Fourth Proportional to 71,672.50, 107,531.43 and 32,233.06

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Solution

The fourth proportional to 71,672.50, 107,531.43 and 32,233.06 is: 48,359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,672.50 : 107,531.43 = 32,233.06 : x
  2. Step 2: Convert to fraction form
    71,672.50/107,531.43 = 32,233.06/x
  3. Step 3: Cross multiply
    71,672.50x = 107,531.43 × 32,233.06
  4. Step 4: Simplify right side
    71,672.50x = 3,466,067,035.08
  5. Step 5: Solve for x
    x = 3,466,067,035.08/71,672.50
  6. Step 6: Final answer
    x = 48,359.79

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