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Finding the Fourth Proportional to 32,489.76, 48,734.82 and 9,115.68

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Solution

The fourth proportional to 32,489.76, 48,734.82 and 9,115.68 is: 13,673.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,489.76 : 48,734.82 = 9,115.68 : x
  2. Step 2: Convert to fraction form
    32,489.76/48,734.82 = 9,115.68/x
  3. Step 3: Cross multiply
    32,489.76x = 48,734.82 × 9,115.68
  4. Step 4: Simplify right side
    32,489.76x = 444,251,023.98
  5. Step 5: Solve for x
    x = 444,251,023.98/32,489.76
  6. Step 6: Final answer
    x = 13,673.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.