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Finding the Fourth Proportional to 36,034.38, 49,727.43 and 20,118.83

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Solution

The fourth proportional to 36,034.38, 49,727.43 and 20,118.83 is: 27,763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,034.38 : 49,727.43 = 20,118.83 : x
  2. Step 2: Convert to fraction form
    36,034.38/49,727.43 = 20,118.83/x
  3. Step 3: Cross multiply
    36,034.38x = 49,727.43 × 20,118.83
  4. Step 4: Simplify right side
    36,034.38x = 1,000,457,461.87
  5. Step 5: Solve for x
    x = 1,000,457,461.87/36,034.38
  6. Step 6: Final answer
    x = 27,763.97

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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.