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Finding the Fourth Proportional to 31,734, 43,792.92 and 17,588.97

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Solution

The fourth proportional to 31,734, 43,792.92 and 17,588.97 is: 24,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,734 : 43,792.92 = 17,588.97 : x
  2. Step 2: Convert to fraction form
    31,734/43,792.92 = 17,588.97/x
  3. Step 3: Cross multiply
    31,734x = 43,792.92 × 17,588.97
  4. Step 4: Simplify right side
    31,734x = 770,272,356.09
  5. Step 5: Solve for x
    x = 770,272,356.09/31,734
  6. Step 6: Final answer
    x = 24,272.78

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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.