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Finding the Fourth Proportional to 32,142.39, 48,220.10 and 11,380.47

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Solution

The fourth proportional to 32,142.39, 48,220.10 and 11,380.47 is: 17,073.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.39 : 48,220.10 = 11,380.47 : x
  2. Step 2: Convert to fraction form
    32,142.39/48,220.10 = 11,380.47/x
  3. Step 3: Cross multiply
    32,142.39x = 48,220.10 × 11,380.47
  4. Step 4: Simplify right side
    32,142.39x = 548,767,344.54
  5. Step 5: Solve for x
    x = 548,767,344.54/32,142.39
  6. Step 6: Final answer
    x = 17,073.01

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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.