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Finding the Fourth Proportional to 31,413.78, 43,351.43 and 17,266.50

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Solution

The fourth proportional to 31,413.78, 43,351.43 and 17,266.50 is: 23,827.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,413.78 : 43,351.43 = 17,266.50 : x
  2. Step 2: Convert to fraction form
    31,413.78/43,351.43 = 17,266.50/x
  3. Step 3: Cross multiply
    31,413.78x = 43,351.43 × 17,266.50
  4. Step 4: Simplify right side
    31,413.78x = 748,527,379.76
  5. Step 5: Solve for x
    x = 748,527,379.76/31,413.78
  6. Step 6: Final answer
    x = 23,827.99

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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.