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Finding the Fourth Proportional to 50,418.78, 69,577.35 and 27,757.30

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Solution

The fourth proportional to 50,418.78, 69,577.35 and 27,757.30 is: 38,304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,418.78 : 69,577.35 = 27,757.30 : x
  2. Step 2: Convert to fraction form
    50,418.78/69,577.35 = 27,757.30/x
  3. Step 3: Cross multiply
    50,418.78x = 69,577.35 × 27,757.30
  4. Step 4: Simplify right side
    50,418.78x = 1,931,279,610.55
  5. Step 5: Solve for x
    x = 1,931,279,610.55/50,418.78
  6. Step 6: Final answer
    x = 38,304.77

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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.