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Finding the Fourth Proportional to 40,196.38, 55,467.38 and 22,291.34

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Solution

The fourth proportional to 40,196.38, 55,467.38 and 22,291.34 is: 30,760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,196.38 : 55,467.38 = 22,291.34 : x
  2. Step 2: Convert to fraction form
    40,196.38/55,467.38 = 22,291.34/x
  3. Step 3: Cross multiply
    40,196.38x = 55,467.38 × 22,291.34
  4. Step 4: Simplify right side
    40,196.38x = 1,236,442,226.49
  5. Step 5: Solve for x
    x = 1,236,442,226.49/40,196.38
  6. Step 6: Final answer
    x = 30,760.04

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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.