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Finding the Fourth Proportional to 50,227.84, 69,311.32 and 27,562.24

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Solution

The fourth proportional to 50,227.84, 69,311.32 and 27,562.24 is: 38,034.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,227.84 : 69,311.32 = 27,562.24 : x
  2. Step 2: Convert to fraction form
    50,227.84/69,311.32 = 27,562.24/x
  3. Step 3: Cross multiply
    50,227.84x = 69,311.32 × 27,562.24
  4. Step 4: Simplify right side
    50,227.84x = 1,910,375,236.56
  5. Step 5: Solve for x
    x = 1,910,375,236.56/50,227.84
  6. Step 6: Final answer
    x = 38,034.19

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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.