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Finding the Fourth Proportional to 33,833.82, 50,735.16 and 14,100.60

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Solution

The fourth proportional to 33,833.82, 50,735.16 and 14,100.60 is: 21,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,833.82 : 50,735.16 = 14,100.60 : x
  2. Step 2: Convert to fraction form
    33,833.82/50,735.16 = 14,100.60/x
  3. Step 3: Cross multiply
    33,833.82x = 50,735.16 × 14,100.60
  4. Step 4: Simplify right side
    33,833.82x = 715,396,197.10
  5. Step 5: Solve for x
    x = 715,396,197.10/33,833.82
  6. Step 6: Final answer
    x = 21,144.41

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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.