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Finding the Fourth Proportional to 32,394.38, 48,513.20 and 15,713.10

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Solution

The fourth proportional to 32,394.38, 48,513.20 and 15,713.10 is: 23,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,394.38 : 48,513.20 = 15,713.10 : x
  2. Step 2: Convert to fraction form
    32,394.38/48,513.20 = 15,713.10/x
  3. Step 3: Cross multiply
    32,394.38x = 48,513.20 × 15,713.10
  4. Step 4: Simplify right side
    32,394.38x = 762,292,684.35
  5. Step 5: Solve for x
    x = 762,292,684.35/32,394.38
  6. Step 6: Final answer
    x = 23,531.64

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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.