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Finding the Fourth Proportional to 52,082.57, 71,868.81 and 29,108.15

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Solution

The fourth proportional to 52,082.57, 71,868.81 and 29,108.15 is: 40,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,082.57 : 71,868.81 = 29,108.15 : x
  2. Step 2: Convert to fraction form
    52,082.57/71,868.81 = 29,108.15/x
  3. Step 3: Cross multiply
    52,082.57x = 71,868.81 × 29,108.15
  4. Step 4: Simplify right side
    52,082.57x = 2,091,968,101.80
  5. Step 5: Solve for x
    x = 2,091,968,101.80/52,082.57
  6. Step 6: Final answer
    x = 40,166.38

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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.