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Finding the Fourth Proportional to 36,163.38, 49,905.54 and 20,248.50

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Solution

The fourth proportional to 36,163.38, 49,905.54 and 20,248.50 is: 27,942.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,163.38 : 49,905.54 = 20,248.50 : x
  2. Step 2: Convert to fraction form
    36,163.38/49,905.54 = 20,248.50/x
  3. Step 3: Cross multiply
    36,163.38x = 49,905.54 × 20,248.50
  4. Step 4: Simplify right side
    36,163.38x = 1,010,512,326.69
  5. Step 5: Solve for x
    x = 1,010,512,326.69/36,163.38
  6. Step 6: Final answer
    x = 27,942.97

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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.