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Finding the Fourth Proportional to 31,413.57, 43,350 and 17,073.06

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Solution

The fourth proportional to 31,413.57, 43,350 and 17,073.06 is: 23,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,413.57 : 43,350 = 17,073.06 : x
  2. Step 2: Convert to fraction form
    31,413.57/43,350 = 17,073.06/x
  3. Step 3: Cross multiply
    31,413.57x = 43,350 × 17,073.06
  4. Step 4: Simplify right side
    31,413.57x = 740,117,151
  5. Step 5: Solve for x
    x = 740,117,151/31,413.57
  6. Step 6: Final answer
    x = 23,560.43

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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.