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Finding the Fourth Proportional to 82,515.70, 123,773.55 and 20,186.20

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Solution

The fourth proportional to 82,515.70, 123,773.55 and 20,186.20 is: 30,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,515.70 : 123,773.55 = 20,186.20 : x
  2. Step 2: Convert to fraction form
    82,515.70/123,773.55 = 20,186.20/x
  3. Step 3: Cross multiply
    82,515.70x = 123,773.55 × 20,186.20
  4. Step 4: Simplify right side
    82,515.70x = 2,498,517,635.01
  5. Step 5: Solve for x
    x = 2,498,517,635.01/82,515.70
  6. Step 6: Final answer
    x = 30,279.30

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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.