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Finding the Fourth Proportional to 50,469.48, 69,649.20 and 27,807.84

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Solution

The fourth proportional to 50,469.48, 69,649.20 and 27,807.84 is: 38,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,469.48 : 69,649.20 = 27,807.84 : x
  2. Step 2: Convert to fraction form
    50,469.48/69,649.20 = 27,807.84/x
  3. Step 3: Cross multiply
    50,469.48x = 69,649.20 × 27,807.84
  4. Step 4: Simplify right side
    50,469.48x = 1,936,793,809.73
  5. Step 5: Solve for x
    x = 1,936,793,809.73/50,469.48
  6. Step 6: Final answer
    x = 38,375.55

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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.