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Finding the Fourth Proportional to 36,076.67, 49,785.93 and 20,161.38

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Solution

The fourth proportional to 36,076.67, 49,785.93 and 20,161.38 is: 27,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,076.67 : 49,785.93 = 20,161.38 : x
  2. Step 2: Convert to fraction form
    36,076.67/49,785.93 = 20,161.38/x
  3. Step 3: Cross multiply
    36,076.67x = 49,785.93 × 20,161.38
  4. Step 4: Simplify right side
    36,076.67x = 1,003,752,952.58
  5. Step 5: Solve for x
    x = 1,003,752,952.58/36,076.67
  6. Step 6: Final answer
    x = 27,822.78

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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.