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Finding the Fourth Proportional to 33,413.69, 49,982.02 and 25,456.00

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Solution

The fourth proportional to 33,413.69, 49,982.02 and 25,456.00 is: 38,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,413.69 : 49,982.02 = 25,456.00 : x
  2. Step 2: Convert to fraction form
    33,413.69/49,982.02 = 25,456.00/x
  3. Step 3: Cross multiply
    33,413.69x = 49,982.02 × 25,456.00
  4. Step 4: Simplify right side
    33,413.69x = 1,272,342,051.21
  5. Step 5: Solve for x
    x = 1,272,342,051.21/33,413.69
  6. Step 6: Final answer
    x = 38,078.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.