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Finding the Fourth Proportional to 36,064.97, 49,768.74 and 20,149.54

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Solution

The fourth proportional to 36,064.97, 49,768.74 and 20,149.54 is: 27,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,064.97 : 49,768.74 = 20,149.54 : x
  2. Step 2: Convert to fraction form
    36,064.97/49,768.74 = 20,149.54/x
  3. Step 3: Cross multiply
    36,064.97x = 49,768.74 × 20,149.54
  4. Step 4: Simplify right side
    36,064.97x = 1,002,817,217.38
  5. Step 5: Solve for x
    x = 1,002,817,217.38/36,064.97
  6. Step 6: Final answer
    x = 27,805.85

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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.