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Finding the Fourth Proportional to 50,414.57, 69,570.88 and 27,753.38

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Solution

The fourth proportional to 50,414.57, 69,570.88 and 27,753.38 is: 38,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,414.57 : 69,570.88 = 27,753.38 : x
  2. Step 2: Convert to fraction form
    50,414.57/69,570.88 = 27,753.38/x
  3. Step 3: Cross multiply
    50,414.57x = 69,570.88 × 27,753.38
  4. Step 4: Simplify right side
    50,414.57x = 1,930,827,069.57
  5. Step 5: Solve for x
    x = 1,930,827,069.57/50,414.57
  6. Step 6: Final answer
    x = 38,298.99

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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.