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Finding the Fourth Proportional to 31,776.38, 43,856.62 and 17,633.78

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Solution

The fourth proportional to 31,776.38, 43,856.62 and 17,633.78 is: 24,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.38 : 43,856.62 = 17,633.78 : x
  2. Step 2: Convert to fraction form
    31,776.38/43,856.62 = 17,633.78/x
  3. Step 3: Cross multiply
    31,776.38x = 43,856.62 × 17,633.78
  4. Step 4: Simplify right side
    31,776.38x = 773,357,988.62
  5. Step 5: Solve for x
    x = 773,357,988.62/31,776.38
  6. Step 6: Final answer
    x = 24,337.51

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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.