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Finding the Fourth Proportional to 32,142.89, 48,220.85 and 11,380.97

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Solution

The fourth proportional to 32,142.89, 48,220.85 and 11,380.97 is: 17,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.89 : 48,220.85 = 11,380.97 : x
  2. Step 2: Convert to fraction form
    32,142.89/48,220.85 = 11,380.97/x
  3. Step 3: Cross multiply
    32,142.89x = 48,220.85 × 11,380.97
  4. Step 4: Simplify right side
    32,142.89x = 548,799,990.32
  5. Step 5: Solve for x
    x = 548,799,990.32/32,142.89
  6. Step 6: Final answer
    x = 17,073.76

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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.