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Finding the Fourth Proportional to 40,193.46, 55,466.86 and 22,288

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Solution

The fourth proportional to 40,193.46, 55,466.86 and 22,288 is: 30,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,193.46 : 55,466.86 = 22,288 : x
  2. Step 2: Convert to fraction form
    40,193.46/55,466.86 = 22,288/x
  3. Step 3: Cross multiply
    40,193.46x = 55,466.86 × 22,288
  4. Step 4: Simplify right side
    40,193.46x = 1,236,245,375.68
  5. Step 5: Solve for x
    x = 1,236,245,375.68/40,193.46
  6. Step 6: Final answer
    x = 30,757.38

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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.