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Finding the Fourth Proportional to 82,016.91, 113,183.34 and 44,291.16

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Solution

The fourth proportional to 82,016.91, 113,183.34 and 44,291.16 is: 61,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,016.91 : 113,183.34 = 44,291.16 : x
  2. Step 2: Convert to fraction form
    82,016.91/113,183.34 = 44,291.16/x
  3. Step 3: Cross multiply
    82,016.91x = 113,183.34 × 44,291.16
  4. Step 4: Simplify right side
    82,016.91x = 5,013,021,421.27
  5. Step 5: Solve for x
    x = 5,013,021,421.27/82,016.91
  6. Step 6: Final answer
    x = 61,121.80

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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.