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Finding the Fourth Proportional to 41,540, 57,325.44 and 22,677.32

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Solution

The fourth proportional to 41,540, 57,325.44 and 22,677.32 is: 31,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,540 : 57,325.44 = 22,677.32 : x
  2. Step 2: Convert to fraction form
    41,540/57,325.44 = 22,677.32/x
  3. Step 3: Cross multiply
    41,540x = 57,325.44 × 22,677.32
  4. Step 4: Simplify right side
    41,540x = 1,299,987,347.02
  5. Step 5: Solve for x
    x = 1,299,987,347.02/41,540
  6. Step 6: Final answer
    x = 31,294.83

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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.