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Finding the Fourth Proportional to 33,902.88, 50,854.31 and 13,126.38

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Solution

The fourth proportional to 33,902.88, 50,854.31 and 13,126.38 is: 19,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,902.88 : 50,854.31 = 13,126.38 : x
  2. Step 2: Convert to fraction form
    33,902.88/50,854.31 = 13,126.38/x
  3. Step 3: Cross multiply
    33,902.88x = 50,854.31 × 13,126.38
  4. Step 4: Simplify right side
    33,902.88x = 667,532,997.70
  5. Step 5: Solve for x
    x = 667,532,997.70/33,902.88
  6. Step 6: Final answer
    x = 19,689.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.