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Finding the Fourth Proportional to 50,227.68, 69,314.36 and 27,566.88

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Solution

The fourth proportional to 50,227.68, 69,314.36 and 27,566.88 is: 38,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,227.68 : 69,314.36 = 27,566.88 : x
  2. Step 2: Convert to fraction form
    50,227.68/69,314.36 = 27,566.88/x
  3. Step 3: Cross multiply
    50,227.68x = 69,314.36 × 27,566.88
  4. Step 4: Simplify right side
    50,227.68x = 1,910,780,644.40
  5. Step 5: Solve for x
    x = 1,910,780,644.40/50,227.68
  6. Step 6: Final answer
    x = 38,042.38

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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.