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Finding the Fourth Proportional to 33,566.50, 50,349.93 and 8,942.50

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Solution

The fourth proportional to 33,566.50, 50,349.93 and 8,942.50 is: 13,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,566.50 : 50,349.93 = 8,942.50 : x
  2. Step 2: Convert to fraction form
    33,566.50/50,349.93 = 8,942.50/x
  3. Step 3: Cross multiply
    33,566.50x = 50,349.93 × 8,942.50
  4. Step 4: Simplify right side
    33,566.50x = 450,254,249.03
  5. Step 5: Solve for x
    x = 450,254,249.03/33,566.50
  6. Step 6: Final answer
    x = 13,413.80

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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.