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Finding the Fourth Proportional to 36,881.38, 50,896.57 and 20,114.38

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Solution

The fourth proportional to 36,881.38, 50,896.57 and 20,114.38 is: 27,757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,881.38 : 50,896.57 = 20,114.38 : x
  2. Step 2: Convert to fraction form
    36,881.38/50,896.57 = 20,114.38/x
  3. Step 3: Cross multiply
    36,881.38x = 50,896.57 × 20,114.38
  4. Step 4: Simplify right side
    36,881.38x = 1,023,752,949.68
  5. Step 5: Solve for x
    x = 1,023,752,949.68/36,881.38
  6. Step 6: Final answer
    x = 27,757.99

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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.