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Finding the Fourth Proportional to 82,481.30, 123,706.14 and 35,122.49

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Solution

The fourth proportional to 82,481.30, 123,706.14 and 35,122.49 is: 52,677.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,481.30 : 123,706.14 = 35,122.49 : x
  2. Step 2: Convert to fraction form
    82,481.30/123,706.14 = 35,122.49/x
  3. Step 3: Cross multiply
    82,481.30x = 123,706.14 × 35,122.49
  4. Step 4: Simplify right side
    82,481.30x = 4,344,867,665.09
  5. Step 5: Solve for x
    x = 4,344,867,665.09/82,481.30
  6. Step 6: Final answer
    x = 52,677.00

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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.