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Finding the Fourth Proportional to 32,105.71, 48,166.38 and 11,046.13

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Solution

The fourth proportional to 32,105.71, 48,166.38 and 11,046.13 is: 16,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,105.71 : 48,166.38 = 11,046.13 : x
  2. Step 2: Convert to fraction form
    32,105.71/48,166.38 = 11,046.13/x
  3. Step 3: Cross multiply
    32,105.71x = 48,166.38 × 11,046.13
  4. Step 4: Simplify right side
    32,105.71x = 532,052,095.11
  5. Step 5: Solve for x
    x = 532,052,095.11/32,105.71
  6. Step 6: Final answer
    x = 16,571.88

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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.