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Finding the Fourth Proportional to 30,731.29, 42,413.22 and 17,305.17

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Solution

The fourth proportional to 30,731.29, 42,413.22 and 17,305.17 is: 23,883.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,731.29 : 42,413.22 = 17,305.17 : x
  2. Step 2: Convert to fraction form
    30,731.29/42,413.22 = 17,305.17/x
  3. Step 3: Cross multiply
    30,731.29x = 42,413.22 × 17,305.17
  4. Step 4: Simplify right side
    30,731.29x = 733,967,982.35
  5. Step 5: Solve for x
    x = 733,967,982.35/30,731.29
  6. Step 6: Final answer
    x = 23,883.41

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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.