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Finding the Fourth Proportional to 36,129.42, 49,857.72 and 20,215.38

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Solution

The fourth proportional to 36,129.42, 49,857.72 and 20,215.38 is: 27,896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,129.42 : 49,857.72 = 20,215.38 : x
  2. Step 2: Convert to fraction form
    36,129.42/49,857.72 = 20,215.38/x
  3. Step 3: Cross multiply
    36,129.42x = 49,857.72 × 20,215.38
  4. Step 4: Simplify right side
    36,129.42x = 1,007,892,755.73
  5. Step 5: Solve for x
    x = 1,007,892,755.73/36,129.42
  6. Step 6: Final answer
    x = 27,896.73

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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.