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Finding the Fourth Proportional to 54,785, 82,183.98 and 17,849

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Solution

The fourth proportional to 54,785, 82,183.98 and 17,849 is: 26,775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,785 : 82,183.98 = 17,849 : x
  2. Step 2: Convert to fraction form
    54,785/82,183.98 = 17,849/x
  3. Step 3: Cross multiply
    54,785x = 82,183.98 × 17,849
  4. Step 4: Simplify right side
    54,785x = 1,466,901,859.02
  5. Step 5: Solve for x
    x = 1,466,901,859.02/54,785
  6. Step 6: Final answer
    x = 26,775.61

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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.