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Finding the Fourth Proportional to 82,217.73, 123,278.73 and 32,239.24

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Solution

The fourth proportional to 82,217.73, 123,278.73 and 32,239.24 is: 48,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,217.73 : 123,278.73 = 32,239.24 : x
  2. Step 2: Convert to fraction form
    82,217.73/123,278.73 = 32,239.24/x
  3. Step 3: Cross multiply
    82,217.73x = 123,278.73 × 32,239.24
  4. Step 4: Simplify right side
    82,217.73x = 3,974,412,563.37
  5. Step 5: Solve for x
    x = 3,974,412,563.37/82,217.73
  6. Step 6: Final answer
    x = 48,340.09

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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.