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Finding the Fourth Proportional to 52,074.25, 71,863.77 and 31,942.23

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Solution

The fourth proportional to 52,074.25, 71,863.77 and 31,942.23 is: 44,081.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,074.25 : 71,863.77 = 31,942.23 : x
  2. Step 2: Convert to fraction form
    52,074.25/71,863.77 = 31,942.23/x
  3. Step 3: Cross multiply
    52,074.25x = 71,863.77 × 31,942.23
  4. Step 4: Simplify right side
    52,074.25x = 2,295,489,324.54
  5. Step 5: Solve for x
    x = 2,295,489,324.54/52,074.25
  6. Step 6: Final answer
    x = 44,081.08

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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.