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Finding the Fourth Proportional to 82,183.26, 113,413.02 and 44,457.50

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Solution

The fourth proportional to 82,183.26, 113,413.02 and 44,457.50 is: 61,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,183.26 : 113,413.02 = 44,457.50 : x
  2. Step 2: Convert to fraction form
    82,183.26/113,413.02 = 44,457.50/x
  3. Step 3: Cross multiply
    82,183.26x = 113,413.02 × 44,457.50
  4. Step 4: Simplify right side
    82,183.26x = 5,042,059,336.65
  5. Step 5: Solve for x
    x = 5,042,059,336.65/82,183.26
  6. Step 6: Final answer
    x = 61,351.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.