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Finding the Fourth Proportional to 52,957.76, 73,082.92 and 29,086

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Solution

The fourth proportional to 52,957.76, 73,082.92 and 29,086 is: 40,139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,957.76 : 73,082.92 = 29,086 : x
  2. Step 2: Convert to fraction form
    52,957.76/73,082.92 = 29,086/x
  3. Step 3: Cross multiply
    52,957.76x = 73,082.92 × 29,086
  4. Step 4: Simplify right side
    52,957.76x = 2,125,689,811.12
  5. Step 5: Solve for x
    x = 2,125,689,811.12/52,957.76
  6. Step 6: Final answer
    x = 40,139.35

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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.