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Finding the Fourth Proportional to 82,016.75, 113,183.51 and 46,207.32

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Solution

The fourth proportional to 82,016.75, 113,183.51 and 46,207.32 is: 63,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,016.75 : 113,183.51 = 46,207.32 : x
  2. Step 2: Convert to fraction form
    82,016.75/113,183.51 = 46,207.32/x
  3. Step 3: Cross multiply
    82,016.75x = 113,183.51 × 46,207.32
  4. Step 4: Simplify right side
    82,016.75x = 5,229,906,434.26
  5. Step 5: Solve for x
    x = 5,229,906,434.26/82,016.75
  6. Step 6: Final answer
    x = 63,766.33

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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.