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Finding the Fourth Proportional to 31,620.12, 43,634.88 and 17,472.66

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Solution

The fourth proportional to 31,620.12, 43,634.88 and 17,472.66 is: 24,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,620.12 : 43,634.88 = 17,472.66 : x
  2. Step 2: Convert to fraction form
    31,620.12/43,634.88 = 17,472.66/x
  3. Step 3: Cross multiply
    31,620.12x = 43,634.88 × 17,472.66
  4. Step 4: Simplify right side
    31,620.12x = 762,417,422.38
  5. Step 5: Solve for x
    x = 762,417,422.38/31,620.12
  6. Step 6: Final answer
    x = 24,111.78

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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.