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Finding the Fourth Proportional to 32,431.41, 48,648.74 and 13,712.31

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Solution

The fourth proportional to 32,431.41, 48,648.74 and 13,712.31 is: 20,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,431.41 : 48,648.74 = 13,712.31 : x
  2. Step 2: Convert to fraction form
    32,431.41/48,648.74 = 13,712.31/x
  3. Step 3: Cross multiply
    32,431.41x = 48,648.74 × 13,712.31
  4. Step 4: Simplify right side
    32,431.41x = 667,086,535.43
  5. Step 5: Solve for x
    x = 667,086,535.43/32,431.41
  6. Step 6: Final answer
    x = 20,569.15

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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.