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Finding the Fourth Proportional to 82,104.23, 123,170.02 and 50,493.88

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Solution

The fourth proportional to 82,104.23, 123,170.02 and 50,493.88 is: 75,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,104.23 : 123,170.02 = 50,493.88 : x
  2. Step 2: Convert to fraction form
    82,104.23/123,170.02 = 50,493.88/x
  3. Step 3: Cross multiply
    82,104.23x = 123,170.02 × 50,493.88
  4. Step 4: Simplify right side
    82,104.23x = 6,219,332,237.21
  5. Step 5: Solve for x
    x = 6,219,332,237.21/82,104.23
  6. Step 6: Final answer
    x = 75,749.23

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