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Finding the Fourth Proportional to 82,016.60, 123,024.90 and 71,648.60

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Solution

The fourth proportional to 82,016.60, 123,024.90 and 71,648.60 is: 107,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,016.60 : 123,024.90 = 71,648.60 : x
  2. Step 2: Convert to fraction form
    82,016.60/123,024.90 = 71,648.60/x
  3. Step 3: Cross multiply
    82,016.60x = 123,024.90 × 71,648.60
  4. Step 4: Simplify right side
    82,016.60x = 8,814,561,850.14
  5. Step 5: Solve for x
    x = 8,814,561,850.14/82,016.60
  6. Step 6: Final answer
    x = 107,472.90

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1.5x scale

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.