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Finding the Fourth Proportional to 31,689.38, 43,731.69 and 17,542.46

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Solution

The fourth proportional to 31,689.38, 43,731.69 and 17,542.46 is: 24,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,689.38 : 43,731.69 = 17,542.46 : x
  2. Step 2: Convert to fraction form
    31,689.38/43,731.69 = 17,542.46/x
  3. Step 3: Cross multiply
    31,689.38x = 43,731.69 × 17,542.46
  4. Step 4: Simplify right side
    31,689.38x = 767,161,422.56
  5. Step 5: Solve for x
    x = 767,161,422.56/31,689.38
  6. Step 6: Final answer
    x = 24,208.79

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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.