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Finding the Fourth Proportional to 31,134.38, 43,012.22 and 20,404.71

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Solution

The fourth proportional to 31,134.38, 43,012.22 and 20,404.71 is: 28,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134.38 : 43,012.22 = 20,404.71 : x
  2. Step 2: Convert to fraction form
    31,134.38/43,012.22 = 20,404.71/x
  3. Step 3: Cross multiply
    31,134.38x = 43,012.22 × 20,404.71
  4. Step 4: Simplify right side
    31,134.38x = 877,651,773.53
  5. Step 5: Solve for x
    x = 877,651,773.53/31,134.38
  6. Step 6: Final answer
    x = 28,189.16

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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.