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Finding the Fourth Proportional to 40,101.69, 55,340.83 and 22,198.37

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Solution

The fourth proportional to 40,101.69, 55,340.83 and 22,198.37 is: 30,634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,101.69 : 55,340.83 = 22,198.37 : x
  2. Step 2: Convert to fraction form
    40,101.69/55,340.83 = 22,198.37/x
  3. Step 3: Cross multiply
    40,101.69x = 55,340.83 × 22,198.37
  4. Step 4: Simplify right side
    40,101.69x = 1,228,476,220.45
  5. Step 5: Solve for x
    x = 1,228,476,220.45/40,101.69
  6. Step 6: Final answer
    x = 30,634.03

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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.