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Finding the Fourth Proportional to 32,377.43, 48,569.63 and 10,191.47

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Solution

The fourth proportional to 32,377.43, 48,569.63 and 10,191.47 is: 15,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,377.43 : 48,569.63 = 10,191.47 : x
  2. Step 2: Convert to fraction form
    32,377.43/48,569.63 = 10,191.47/x
  3. Step 3: Cross multiply
    32,377.43x = 48,569.63 × 10,191.47
  4. Step 4: Simplify right side
    32,377.43x = 494,995,876.10
  5. Step 5: Solve for x
    x = 494,995,876.10/32,377.43
  6. Step 6: Final answer
    x = 15,288.30

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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.