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Finding the Fourth Proportional to 57,993.68, 86,976.94 and 32,704.11

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Solution

The fourth proportional to 57,993.68, 86,976.94 and 32,704.11 is: 49,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,993.68 : 86,976.94 = 32,704.11 : x
  2. Step 2: Convert to fraction form
    57,993.68/86,976.94 = 32,704.11/x
  3. Step 3: Cross multiply
    57,993.68x = 86,976.94 × 32,704.11
  4. Step 4: Simplify right side
    57,993.68x = 2,844,503,413.22
  5. Step 5: Solve for x
    x = 2,844,503,413.22/57,993.68
  6. Step 6: Final answer
    x = 49,048.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.