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Finding the Fourth Proportional to 33,723, 50,584.50 and 9,099

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Solution

The fourth proportional to 33,723, 50,584.50 and 9,099 is: 13,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,723 : 50,584.50 = 9,099 : x
  2. Step 2: Convert to fraction form
    33,723/50,584.50 = 9,099/x
  3. Step 3: Cross multiply
    33,723x = 50,584.50 × 9,099
  4. Step 4: Simplify right side
    33,723x = 460,268,365.50
  5. Step 5: Solve for x
    x = 460,268,365.50/33,723
  6. Step 6: Final answer
    x = 13,648.50

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Why These Related Problems?

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