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Finding the Fourth Proportional to 36,082.98, 49,794.30 and 20,167.38

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Solution

The fourth proportional to 36,082.98, 49,794.30 and 20,167.38 is: 27,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,082.98 : 49,794.30 = 20,167.38 : x
  2. Step 2: Convert to fraction form
    36,082.98/49,794.30 = 20,167.38/x
  3. Step 3: Cross multiply
    36,082.98x = 49,794.30 × 20,167.38
  4. Step 4: Simplify right side
    36,082.98x = 1,004,220,569.93
  5. Step 5: Solve for x
    x = 1,004,220,569.93/36,082.98
  6. Step 6: Final answer
    x = 27,830.87

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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.