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Finding the Fourth Proportional to 36,206.38, 49,965.42 and 20,289.88

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Solution

The fourth proportional to 36,206.38, 49,965.42 and 20,289.88 is: 28,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,206.38 : 49,965.42 = 20,289.88 : x
  2. Step 2: Convert to fraction form
    36,206.38/49,965.42 = 20,289.88/x
  3. Step 3: Cross multiply
    36,206.38x = 49,965.42 × 20,289.88
  4. Step 4: Simplify right side
    36,206.38x = 1,013,792,375.95
  5. Step 5: Solve for x
    x = 1,013,792,375.95/36,206.38
  6. Step 6: Final answer
    x = 28,000.38

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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.