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Finding the Fourth Proportional to 50,649.62, 69,896.69 and 27,679.90

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Solution

The fourth proportional to 50,649.62, 69,896.69 and 27,679.90 is: 38,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,649.62 : 69,896.69 = 27,679.90 : x
  2. Step 2: Convert to fraction form
    50,649.62/69,896.69 = 27,679.90/x
  3. Step 3: Cross multiply
    50,649.62x = 69,896.69 × 27,679.90
  4. Step 4: Simplify right side
    50,649.62x = 1,934,733,311.25
  5. Step 5: Solve for x
    x = 1,934,733,311.25/50,649.62
  6. Step 6: Final answer
    x = 38,198.38

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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.