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Finding the Fourth Proportional to 31,471.38, 43,426.98 and 18,038.97

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Solution

The fourth proportional to 31,471.38, 43,426.98 and 18,038.97 is: 24,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.38 : 43,426.98 = 18,038.97 : x
  2. Step 2: Convert to fraction form
    31,471.38/43,426.98 = 18,038.97/x
  3. Step 3: Cross multiply
    31,471.38x = 43,426.98 × 18,038.97
  4. Step 4: Simplify right side
    31,471.38x = 783,377,989.41
  5. Step 5: Solve for x
    x = 783,377,989.41/31,471.38
  6. Step 6: Final answer
    x = 24,891.76

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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.