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Finding the Fourth Proportional to 32,761.46, 49,143.87 and 9,388.10

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Solution

The fourth proportional to 32,761.46, 49,143.87 and 9,388.10 is: 14,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,761.46 : 49,143.87 = 9,388.10 : x
  2. Step 2: Convert to fraction form
    32,761.46/49,143.87 = 9,388.10/x
  3. Step 3: Cross multiply
    32,761.46x = 49,143.87 × 9,388.10
  4. Step 4: Simplify right side
    32,761.46x = 461,367,565.95
  5. Step 5: Solve for x
    x = 461,367,565.95/32,761.46
  6. Step 6: Final answer
    x = 14,082.63

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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.