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Finding the Fourth Proportional to 50,414.86, 69,571.95 and 27,753.37

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Solution

The fourth proportional to 50,414.86, 69,571.95 and 27,753.37 is: 38,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,414.86 : 69,571.95 = 27,753.37 : x
  2. Step 2: Convert to fraction form
    50,414.86/69,571.95 = 27,753.37/x
  3. Step 3: Cross multiply
    50,414.86x = 69,571.95 × 27,753.37
  4. Step 4: Simplify right side
    50,414.86x = 1,930,856,069.97
  5. Step 5: Solve for x
    x = 1,930,856,069.97/50,414.86
  6. Step 6: Final answer
    x = 38,299.34

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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.