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Finding the Fourth Proportional to 50,076.75, 69,105.92 and 27,720.75

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Solution

The fourth proportional to 50,076.75, 69,105.92 and 27,720.75 is: 38,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,076.75 : 69,105.92 = 27,720.75 : x
  2. Step 2: Convert to fraction form
    50,076.75/69,105.92 = 27,720.75/x
  3. Step 3: Cross multiply
    50,076.75x = 69,105.92 × 27,720.75
  4. Step 4: Simplify right side
    50,076.75x = 1,915,667,793.24
  5. Step 5: Solve for x
    x = 1,915,667,793.24/50,076.75
  6. Step 6: Final answer
    x = 38,254.64

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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.