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Finding the Fourth Proportional to 33,413.93, 50,120.88 and 31,199.60

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Solution

The fourth proportional to 33,413.93, 50,120.88 and 31,199.60 is: 46,799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,413.93 : 50,120.88 = 31,199.60 : x
  2. Step 2: Convert to fraction form
    33,413.93/50,120.88 = 31,199.60/x
  3. Step 3: Cross multiply
    33,413.93x = 50,120.88 × 31,199.60
  4. Step 4: Simplify right side
    33,413.93x = 1,563,751,079.04
  5. Step 5: Solve for x
    x = 1,563,751,079.04/33,413.93
  6. Step 6: Final answer
    x = 46,799.38

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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.