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Finding the Fourth Proportional to 40,193.40, 55,469.39 and 22,288.41

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Solution

The fourth proportional to 40,193.40, 55,469.39 and 22,288.41 is: 30,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,193.40 : 55,469.39 = 22,288.41 : x
  2. Step 2: Convert to fraction form
    40,193.40/55,469.39 = 22,288.41/x
  3. Step 3: Cross multiply
    40,193.40x = 55,469.39 × 22,288.41
  4. Step 4: Simplify right side
    40,193.40x = 1,236,324,395.33
  5. Step 5: Solve for x
    x = 1,236,324,395.33/40,193.40
  6. Step 6: Final answer
    x = 30,759.39

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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.