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Finding the Fourth Proportional to 31,049.73, 42,847.11 and 17,622.23

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Solution

The fourth proportional to 31,049.73, 42,847.11 and 17,622.23 is: 24,317.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.73 : 42,847.11 = 17,622.23 : x
  2. Step 2: Convert to fraction form
    31,049.73/42,847.11 = 17,622.23/x
  3. Step 3: Cross multiply
    31,049.73x = 42,847.11 × 17,622.23
  4. Step 4: Simplify right side
    31,049.73x = 755,061,413.02
  5. Step 5: Solve for x
    x = 755,061,413.02/31,049.73
  6. Step 6: Final answer
    x = 24,317.81

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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.