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Finding the Fourth Proportional to 39,947.21, 55,127.34 and 22,042.23

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Solution

The fourth proportional to 39,947.21, 55,127.34 and 22,042.23 is: 30,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,947.21 : 55,127.34 = 22,042.23 : x
  2. Step 2: Convert to fraction form
    39,947.21/55,127.34 = 22,042.23/x
  3. Step 3: Cross multiply
    39,947.21x = 55,127.34 × 22,042.23
  4. Step 4: Simplify right side
    39,947.21x = 1,215,129,507.57
  5. Step 5: Solve for x
    x = 1,215,129,507.57/39,947.21
  6. Step 6: Final answer
    x = 30,418.39

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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.