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Finding the Fourth Proportional to 31,417.38, 43,355.49 and 17,269.92

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Solution

The fourth proportional to 31,417.38, 43,355.49 and 17,269.92 is: 23,832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,417.38 : 43,355.49 = 17,269.92 : x
  2. Step 2: Convert to fraction form
    31,417.38/43,355.49 = 17,269.92/x
  3. Step 3: Cross multiply
    31,417.38x = 43,355.49 × 17,269.92
  4. Step 4: Simplify right side
    31,417.38x = 748,745,843.86
  5. Step 5: Solve for x
    x = 748,745,843.86/31,417.38
  6. Step 6: Final answer
    x = 23,832.22

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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.