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Finding the Fourth Proportional to 32,112.70, 48,166.65 and 13,387.90

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Solution

The fourth proportional to 32,112.70, 48,166.65 and 13,387.90 is: 20,080.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,112.70 : 48,166.65 = 13,387.90 : x
  2. Step 2: Convert to fraction form
    32,112.70/48,166.65 = 13,387.90/x
  3. Step 3: Cross multiply
    32,112.70x = 48,166.65 × 13,387.90
  4. Step 4: Simplify right side
    32,112.70x = 644,850,293.54
  5. Step 5: Solve for x
    x = 644,850,293.54/32,112.70
  6. Step 6: Final answer
    x = 20,080.85

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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.