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Finding the Fourth Proportional to 31,264.38, 43,144.92 and 17,116.92

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Solution

The fourth proportional to 31,264.38, 43,144.92 and 17,116.92 is: 23,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,264.38 : 43,144.92 = 17,116.92 : x
  2. Step 2: Convert to fraction form
    31,264.38/43,144.92 = 17,116.92/x
  3. Step 3: Cross multiply
    31,264.38x = 43,144.92 × 17,116.92
  4. Step 4: Simplify right side
    31,264.38x = 738,508,144.05
  5. Step 5: Solve for x
    x = 738,508,144.05/31,264.38
  6. Step 6: Final answer
    x = 23,621.39

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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.