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Finding the Fourth Proportional to 36,086.38, 49,800.10 and 20,173.48

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Solution

The fourth proportional to 36,086.38, 49,800.10 and 20,173.48 is: 27,839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,086.38 : 49,800.10 = 20,173.48 : x
  2. Step 2: Convert to fraction form
    36,086.38/49,800.10 = 20,173.48/x
  3. Step 3: Cross multiply
    36,086.38x = 49,800.10 × 20,173.48
  4. Step 4: Simplify right side
    36,086.38x = 1,004,641,321.35
  5. Step 5: Solve for x
    x = 1,004,641,321.35/36,086.38
  6. Step 6: Final answer
    x = 27,839.90

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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.