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Finding the Fourth Proportional to 32,049.81, 44,229.42 and 17,709.66

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Solution

The fourth proportional to 32,049.81, 44,229.42 and 17,709.66 is: 24,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.81 : 44,229.42 = 17,709.66 : x
  2. Step 2: Convert to fraction form
    32,049.81/44,229.42 = 17,709.66/x
  3. Step 3: Cross multiply
    32,049.81x = 44,229.42 × 17,709.66
  4. Step 4: Simplify right side
    32,049.81x = 783,287,990.20
  5. Step 5: Solve for x
    x = 783,287,990.20/32,049.81
  6. Step 6: Final answer
    x = 24,439.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.