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Finding the Fourth Proportional to 31,414.59, 43,353 and 17,267.85

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Solution

The fourth proportional to 31,414.59, 43,353 and 17,267.85 is: 23,830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,414.59 : 43,353 = 17,267.85 : x
  2. Step 2: Convert to fraction form
    31,414.59/43,353 = 17,267.85/x
  3. Step 3: Cross multiply
    31,414.59x = 43,353 × 17,267.85
  4. Step 4: Simplify right side
    31,414.59x = 748,613,101.05
  5. Step 5: Solve for x
    x = 748,613,101.05/31,414.59
  6. Step 6: Final answer
    x = 23,830.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.