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Finding the Fourth Proportional to 40,198.20, 55,472.76 and 22,049

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Solution

The fourth proportional to 40,198.20, 55,472.76 and 22,049 is: 30,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,198.20 : 55,472.76 = 22,049 : x
  2. Step 2: Convert to fraction form
    40,198.20/55,472.76 = 22,049/x
  3. Step 3: Cross multiply
    40,198.20x = 55,472.76 × 22,049
  4. Step 4: Simplify right side
    40,198.20x = 1,223,118,885.24
  5. Step 5: Solve for x
    x = 1,223,118,885.24/40,198.20
  6. Step 6: Final answer
    x = 30,427.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.