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Finding the Fourth Proportional to 31,413.40, 43,357.94 and 17,992.38

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Solution

The fourth proportional to 31,413.40, 43,357.94 and 17,992.38 is: 24,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,413.40 : 43,357.94 = 17,992.38 : x
  2. Step 2: Convert to fraction form
    31,413.40/43,357.94 = 17,992.38/x
  3. Step 3: Cross multiply
    31,413.40x = 43,357.94 × 17,992.38
  4. Step 4: Simplify right side
    31,413.40x = 780,112,532.50
  5. Step 5: Solve for x
    x = 780,112,532.50/31,413.40
  6. Step 6: Final answer
    x = 24,833.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.