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Finding the Fourth Proportional to 71,791.94, 99,082.17 and 41,176.97

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Solution

The fourth proportional to 71,791.94, 99,082.17 and 41,176.97 is: 56,829.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,791.94 : 99,082.17 = 41,176.97 : x
  2. Step 2: Convert to fraction form
    71,791.94/99,082.17 = 41,176.97/x
  3. Step 3: Cross multiply
    71,791.94x = 99,082.17 × 41,176.97
  4. Step 4: Simplify right side
    71,791.94x = 4,079,903,975.11
  5. Step 5: Solve for x
    x = 4,079,903,975.11/71,791.94
  6. Step 6: Final answer
    x = 56,829.56

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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.