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Finding the Fourth Proportional to 32,151.47, 44,384.42 and 21,414.21

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Solution

The fourth proportional to 32,151.47, 44,384.42 and 21,414.21 is: 29,561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,151.47 : 44,384.42 = 21,414.21 : x
  2. Step 2: Convert to fraction form
    32,151.47/44,384.42 = 21,414.21/x
  3. Step 3: Cross multiply
    32,151.47x = 44,384.42 × 21,414.21
  4. Step 4: Simplify right side
    32,151.47x = 950,457,177.70
  5. Step 5: Solve for x
    x = 950,457,177.70/32,151.47
  6. Step 6: Final answer
    x = 29,561.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.