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Finding the Fourth Proportional to 32,327.44, 48,491.17 and 10,142.55

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Solution

The fourth proportional to 32,327.44, 48,491.17 and 10,142.55 is: 15,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,327.44 : 48,491.17 = 10,142.55 : x
  2. Step 2: Convert to fraction form
    32,327.44/48,491.17 = 10,142.55/x
  3. Step 3: Cross multiply
    32,327.44x = 48,491.17 × 10,142.55
  4. Step 4: Simplify right side
    32,327.44x = 491,824,090.93
  5. Step 5: Solve for x
    x = 491,824,090.93/32,327.44
  6. Step 6: Final answer
    x = 15,213.83

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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.