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Finding the Fourth Proportional to 32,267.61, 44,541.19 and 27,711.97

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Solution

The fourth proportional to 32,267.61, 44,541.19 and 27,711.97 is: 38,252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,267.61 : 44,541.19 = 27,711.97 : x
  2. Step 2: Convert to fraction form
    32,267.61/44,541.19 = 27,711.97/x
  3. Step 3: Cross multiply
    32,267.61x = 44,541.19 × 27,711.97
  4. Step 4: Simplify right side
    32,267.61x = 1,234,324,044.33
  5. Step 5: Solve for x
    x = 1,234,324,044.33/32,267.61
  6. Step 6: Final answer
    x = 38,252.73

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Why These Related Problems?

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