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Finding the Fourth Proportional to 71,057.87, 106,561.78 and 23,660.09

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Solution

The fourth proportional to 71,057.87, 106,561.78 and 23,660.09 is: 35,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,057.87 : 106,561.78 = 23,660.09 : x
  2. Step 2: Convert to fraction form
    71,057.87/106,561.78 = 23,660.09/x
  3. Step 3: Cross multiply
    71,057.87x = 106,561.78 × 23,660.09
  4. Step 4: Simplify right side
    71,057.87x = 2,521,261,305.36
  5. Step 5: Solve for x
    x = 2,521,261,305.36/71,057.87
  6. Step 6: Final answer
    x = 35,481.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.