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Finding the Fourth Proportional to 31,791.49, 43,870.21 and 19,854.12

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Solution

The fourth proportional to 31,791.49, 43,870.21 and 19,854.12 is: 27,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,791.49 : 43,870.21 = 19,854.12 : x
  2. Step 2: Convert to fraction form
    31,791.49/43,870.21 = 19,854.12/x
  3. Step 3: Cross multiply
    31,791.49x = 43,870.21 × 19,854.12
  4. Step 4: Simplify right side
    31,791.49x = 871,004,413.77
  5. Step 5: Solve for x
    x = 871,004,413.77/31,791.49
  6. Step 6: Final answer
    x = 27,397.41

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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.