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Finding the Fourth Proportional to 40,107.62, 55,348.38 and 22,201.56

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Solution

The fourth proportional to 40,107.62, 55,348.38 and 22,201.56 is: 30,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,107.62 : 55,348.38 = 22,201.56 : x
  2. Step 2: Convert to fraction form
    40,107.62/55,348.38 = 22,201.56/x
  3. Step 3: Cross multiply
    40,107.62x = 55,348.38 × 22,201.56
  4. Step 4: Simplify right side
    40,107.62x = 1,228,820,379.47
  5. Step 5: Solve for x
    x = 1,228,820,379.47/40,107.62
  6. Step 6: Final answer
    x = 30,638.08

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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.