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Finding the Fourth Proportional to 32,471.56, 48,709.17 and 9,099.82

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Solution

The fourth proportional to 32,471.56, 48,709.17 and 9,099.82 is: 13,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.56 : 48,709.17 = 9,099.82 : x
  2. Step 2: Convert to fraction form
    32,471.56/48,709.17 = 9,099.82/x
  3. Step 3: Cross multiply
    32,471.56x = 48,709.17 × 9,099.82
  4. Step 4: Simplify right side
    32,471.56x = 443,244,679.35
  5. Step 5: Solve for x
    x = 443,244,679.35/32,471.56
  6. Step 6: Final answer
    x = 13,650.24

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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.