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Finding the Fourth Proportional to 82,576.56, 123,864.84 and 33,294

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Solution

The fourth proportional to 82,576.56, 123,864.84 and 33,294 is: 49,941

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,576.56 : 123,864.84 = 33,294 : x
  2. Step 2: Convert to fraction form
    82,576.56/123,864.84 = 33,294/x
  3. Step 3: Cross multiply
    82,576.56x = 123,864.84 × 33,294
  4. Step 4: Simplify right side
    82,576.56x = 4,123,955,982.96
  5. Step 5: Solve for x
    x = 4,123,955,982.96/82,576.56
  6. Step 6: Final answer
    x = 49,941

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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.