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Finding the Fourth Proportional to 36,964.38, 51,010.84 and 20,197.38

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Solution

The fourth proportional to 36,964.38, 51,010.84 and 20,197.38 is: 27,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,964.38 : 51,010.84 = 20,197.38 : x
  2. Step 2: Convert to fraction form
    36,964.38/51,010.84 = 20,197.38/x
  3. Step 3: Cross multiply
    36,964.38x = 51,010.84 × 20,197.38
  4. Step 4: Simplify right side
    36,964.38x = 1,030,285,319.60
  5. Step 5: Solve for x
    x = 1,030,285,319.60/36,964.38
  6. Step 6: Final answer
    x = 27,872.38

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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.