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Finding the Fourth Proportional to 31,859.38, 43,960.77 and 17,711.86

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Solution

The fourth proportional to 31,859.38, 43,960.77 and 17,711.86 is: 24,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,859.38 : 43,960.77 = 17,711.86 : x
  2. Step 2: Convert to fraction form
    31,859.38/43,960.77 = 17,711.86/x
  3. Step 3: Cross multiply
    31,859.38x = 43,960.77 × 17,711.86
  4. Step 4: Simplify right side
    31,859.38x = 778,627,003.73
  5. Step 5: Solve for x
    x = 778,627,003.73/31,859.38
  6. Step 6: Final answer
    x = 24,439.49

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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.