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Finding the Fourth Proportional to 31,112.72, 42,936 and 16,966.28

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Solution

The fourth proportional to 31,112.72, 42,936 and 16,966.28 is: 23,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,112.72 : 42,936 = 16,966.28 : x
  2. Step 2: Convert to fraction form
    31,112.72/42,936 = 16,966.28/x
  3. Step 3: Cross multiply
    31,112.72x = 42,936 × 16,966.28
  4. Step 4: Simplify right side
    31,112.72x = 728,464,198.08
  5. Step 5: Solve for x
    x = 728,464,198.08/31,112.72
  6. Step 6: Final answer
    x = 23,413.71

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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.