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Finding the Fourth Proportional to 55,205.16, 82,809.10 and 20,144.82

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Solution

The fourth proportional to 55,205.16, 82,809.10 and 20,144.82 is: 30,217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,205.16 : 82,809.10 = 20,144.82 : x
  2. Step 2: Convert to fraction form
    55,205.16/82,809.10 = 20,144.82/x
  3. Step 3: Cross multiply
    55,205.16x = 82,809.10 × 20,144.82
  4. Step 4: Simplify right side
    55,205.16x = 1,668,174,413.86
  5. Step 5: Solve for x
    x = 1,668,174,413.86/55,205.16
  6. Step 6: Final answer
    x = 30,217.73

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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.