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Finding the Fourth Proportional to 36,340.38, 50,147.78 and 20,423.80

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Solution

The fourth proportional to 36,340.38, 50,147.78 and 20,423.80 is: 28,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,340.38 : 50,147.78 = 20,423.80 : x
  2. Step 2: Convert to fraction form
    36,340.38/50,147.78 = 20,423.80/x
  3. Step 3: Cross multiply
    36,340.38x = 50,147.78 × 20,423.80
  4. Step 4: Simplify right side
    36,340.38x = 1,024,208,229.16
  5. Step 5: Solve for x
    x = 1,024,208,229.16/36,340.38
  6. Step 6: Final answer
    x = 28,183.75

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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.