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Finding the Fourth Proportional to 82,576.46, 123,846.03 and 38,178.96

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Solution

The fourth proportional to 82,576.46, 123,846.03 and 38,178.96 is: 57,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,576.46 : 123,846.03 = 38,178.96 : x
  2. Step 2: Convert to fraction form
    82,576.46/123,846.03 = 38,178.96/x
  3. Step 3: Cross multiply
    82,576.46x = 123,846.03 × 38,178.96
  4. Step 4: Simplify right side
    82,576.46x = 4,728,312,625.53
  5. Step 5: Solve for x
    x = 4,728,312,625.53/82,576.46
  6. Step 6: Final answer
    x = 57,259.82

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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.