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Finding the Fourth Proportional to 31,679.38, 43,715.72 and 17,531.52

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Solution

The fourth proportional to 31,679.38, 43,715.72 and 17,531.52 is: 24,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,679.38 : 43,715.72 = 17,531.52 : x
  2. Step 2: Convert to fraction form
    31,679.38/43,715.72 = 17,531.52/x
  3. Step 3: Cross multiply
    31,679.38x = 43,715.72 × 17,531.52
  4. Step 4: Simplify right side
    31,679.38x = 766,403,019.49
  5. Step 5: Solve for x
    x = 766,403,019.49/31,679.38
  6. Step 6: Final answer
    x = 24,192.49

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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.