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Finding the Fourth Proportional to 50,414.92, 69,570.18 and 27,753.44

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Solution

The fourth proportional to 50,414.92, 69,570.18 and 27,753.44 is: 38,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,414.92 : 69,570.18 = 27,753.44 : x
  2. Step 2: Convert to fraction form
    50,414.92/69,570.18 = 27,753.44/x
  3. Step 3: Cross multiply
    50,414.92x = 69,570.18 × 27,753.44
  4. Step 4: Simplify right side
    50,414.92x = 1,930,811,816.42
  5. Step 5: Solve for x
    x = 1,930,811,816.42/50,414.92
  6. Step 6: Final answer
    x = 38,298.42

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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.