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Finding the Fourth Proportional to 41,605.14, 57,413.88 and 22,742.25

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Solution

The fourth proportional to 41,605.14, 57,413.88 and 22,742.25 is: 31,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,605.14 : 57,413.88 = 22,742.25 : x
  2. Step 2: Convert to fraction form
    41,605.14/57,413.88 = 22,742.25/x
  3. Step 3: Cross multiply
    41,605.14x = 57,413.88 × 22,742.25
  4. Step 4: Simplify right side
    41,605.14x = 1,305,720,812.43
  5. Step 5: Solve for x
    x = 1,305,720,812.43/41,605.14
  6. Step 6: Final answer
    x = 31,383.64

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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.