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Finding the Fourth Proportional to 40,197.57, 55,472.55 and 22,295.25

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Solution

The fourth proportional to 40,197.57, 55,472.55 and 22,295.25 is: 30,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,197.57 : 55,472.55 = 22,295.25 : x
  2. Step 2: Convert to fraction form
    40,197.57/55,472.55 = 22,295.25/x
  3. Step 3: Cross multiply
    40,197.57x = 55,472.55 × 22,295.25
  4. Step 4: Simplify right side
    40,197.57x = 1,236,774,286.78
  5. Step 5: Solve for x
    x = 1,236,774,286.78/40,197.57
  6. Step 6: Final answer
    x = 30,767.39

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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.