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Finding the Fourth Proportional to 41,201.67, 56,839.19 and 24,200.40

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Solution

The fourth proportional to 41,201.67, 56,839.19 and 24,200.40 is: 33,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,201.67 : 56,839.19 = 24,200.40 : x
  2. Step 2: Convert to fraction form
    41,201.67/56,839.19 = 24,200.40/x
  3. Step 3: Cross multiply
    41,201.67x = 56,839.19 × 24,200.40
  4. Step 4: Simplify right side
    41,201.67x = 1,375,531,012.67
  5. Step 5: Solve for x
    x = 1,375,531,012.67/41,201.67
  6. Step 6: Final answer
    x = 33,385.32

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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.