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Finding the Fourth Proportional to 82,712.40, 123,993.52 and 30,084.68

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Solution

The fourth proportional to 82,712.40, 123,993.52 and 30,084.68 is: 45,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,712.40 : 123,993.52 = 30,084.68 : x
  2. Step 2: Convert to fraction form
    82,712.40/123,993.52 = 30,084.68/x
  3. Step 3: Cross multiply
    82,712.40x = 123,993.52 × 30,084.68
  4. Step 4: Simplify right side
    82,712.40x = 3,730,305,371.27
  5. Step 5: Solve for x
    x = 3,730,305,371.27/82,712.40
  6. Step 6: Final answer
    x = 45,099.71

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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.