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Finding the Fourth Proportional to 40,198.38, 55,475.04 and 22,295.04

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Solution

The fourth proportional to 40,198.38, 55,475.04 and 22,295.04 is: 30,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,198.38 : 55,475.04 = 22,295.04 : x
  2. Step 2: Convert to fraction form
    40,198.38/55,475.04 = 22,295.04/x
  3. Step 3: Cross multiply
    40,198.38x = 55,475.04 × 22,295.04
  4. Step 4: Simplify right side
    40,198.38x = 1,236,818,235.80
  5. Step 5: Solve for x
    x = 1,236,818,235.80/40,198.38
  6. Step 6: Final answer
    x = 30,767.86

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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.