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Finding the Fourth Proportional to 81,163.80, 121,662.90 and 54,871.20

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Solution

The fourth proportional to 81,163.80, 121,662.90 and 54,871.20 is: 82,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,163.80 : 121,662.90 = 54,871.20 : x
  2. Step 2: Convert to fraction form
    81,163.80/121,662.90 = 54,871.20/x
  3. Step 3: Cross multiply
    81,163.80x = 121,662.90 × 54,871.20
  4. Step 4: Simplify right side
    81,163.80x = 6,675,789,318.48
  5. Step 5: Solve for x
    x = 6,675,789,318.48/81,163.80
  6. Step 6: Final answer
    x = 82,250.82

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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.