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Finding the Fourth Proportional to 82,016.26, 122,745.44 and 50,409.65

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Solution

The fourth proportional to 82,016.26, 122,745.44 and 50,409.65 is: 75,443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,016.26 : 122,745.44 = 50,409.65 : x
  2. Step 2: Convert to fraction form
    82,016.26/122,745.44 = 50,409.65/x
  3. Step 3: Cross multiply
    82,016.26x = 122,745.44 × 50,409.65
  4. Step 4: Simplify right side
    82,016.26x = 6,187,555,102.38
  5. Step 5: Solve for x
    x = 6,187,555,102.38/82,016.26
  6. Step 6: Final answer
    x = 75,443.03

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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.