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Finding the Fourth Proportional to 82,586.56, 123,879.84 and 33,304

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Solution

The fourth proportional to 82,586.56, 123,879.84 and 33,304 is: 49,956

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,586.56 : 123,879.84 = 33,304 : x
  2. Step 2: Convert to fraction form
    82,586.56/123,879.84 = 33,304/x
  3. Step 3: Cross multiply
    82,586.56x = 123,879.84 × 33,304
  4. Step 4: Simplify right side
    82,586.56x = 4,125,694,191.36
  5. Step 5: Solve for x
    x = 4,125,694,191.36/82,586.56
  6. Step 6: Final answer
    x = 49,956

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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.