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Finding the Fourth Proportional to 52,957.80, 73,082.92 and 29,086.04

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Solution

The fourth proportional to 52,957.80, 73,082.92 and 29,086.04 is: 40,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,957.80 : 73,082.92 = 29,086.04 : x
  2. Step 2: Convert to fraction form
    52,957.80/73,082.92 = 29,086.04/x
  3. Step 3: Cross multiply
    52,957.80x = 73,082.92 × 29,086.04
  4. Step 4: Simplify right side
    52,957.80x = 2,125,692,734.44
  5. Step 5: Solve for x
    x = 2,125,692,734.44/52,957.80
  6. Step 6: Final answer
    x = 40,139.37

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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.