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Finding the Fourth Proportional to 32,440.29, 48,656.24 and 10,255.90

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Solution

The fourth proportional to 32,440.29, 48,656.24 and 10,255.90 is: 15,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,440.29 : 48,656.24 = 10,255.90 : x
  2. Step 2: Convert to fraction form
    32,440.29/48,656.24 = 10,255.90/x
  3. Step 3: Cross multiply
    32,440.29x = 48,656.24 × 10,255.90
  4. Step 4: Simplify right side
    32,440.29x = 499,013,531.82
  5. Step 5: Solve for x
    x = 499,013,531.82/32,440.29
  6. Step 6: Final answer
    x = 15,382.52

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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.