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Finding the Fourth Proportional to 32,131.57, 48,189.59 and 12,397.54

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Solution

The fourth proportional to 32,131.57, 48,189.59 and 12,397.54 is: 18,593.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,131.57 : 48,189.59 = 12,397.54 : x
  2. Step 2: Convert to fraction form
    32,131.57/48,189.59 = 12,397.54/x
  3. Step 3: Cross multiply
    32,131.57x = 48,189.59 × 12,397.54
  4. Step 4: Simplify right side
    32,131.57x = 597,432,369.61
  5. Step 5: Solve for x
    x = 597,432,369.61/32,131.57
  6. Step 6: Final answer
    x = 18,593.31

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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.