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Finding the Fourth Proportional to 31,472.38, 43,431.04 and 17,132.48

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Solution

The fourth proportional to 31,472.38, 43,431.04 and 17,132.48 is: 23,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472.38 : 43,431.04 = 17,132.48 : x
  2. Step 2: Convert to fraction form
    31,472.38/43,431.04 = 17,132.48/x
  3. Step 3: Cross multiply
    31,472.38x = 43,431.04 × 17,132.48
  4. Step 4: Simplify right side
    31,472.38x = 744,081,424.18
  5. Step 5: Solve for x
    x = 744,081,424.18/31,472.38
  6. Step 6: Final answer
    x = 23,642.36

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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.