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Finding the Fourth Proportional to 32,431.47, 48,652.22 and 13,711.56

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Solution

The fourth proportional to 32,431.47, 48,652.22 and 13,711.56 is: 20,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,431.47 : 48,652.22 = 13,711.56 : x
  2. Step 2: Convert to fraction form
    32,431.47/48,652.22 = 13,711.56/x
  3. Step 3: Cross multiply
    32,431.47x = 48,652.22 × 13,711.56
  4. Step 4: Simplify right side
    32,431.47x = 667,097,833.66
  5. Step 5: Solve for x
    x = 667,097,833.66/32,431.47
  6. Step 6: Final answer
    x = 20,569.46

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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.