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Finding the Fourth Proportional to 71,414.49, 98,542.90 and 41,199.87

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Solution

The fourth proportional to 71,414.49, 98,542.90 and 41,199.87 is: 56,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,414.49 : 98,542.90 = 41,199.87 : x
  2. Step 2: Convert to fraction form
    71,414.49/98,542.90 = 41,199.87/x
  3. Step 3: Cross multiply
    71,414.49x = 98,542.90 × 41,199.87
  4. Step 4: Simplify right side
    71,414.49x = 4,059,954,669.42
  5. Step 5: Solve for x
    x = 4,059,954,669.42/71,414.49
  6. Step 6: Final answer
    x = 56,850.57

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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.