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Finding the Fourth Proportional to 33,462.64, 50,206.26 and 13,735.90

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Solution

The fourth proportional to 33,462.64, 50,206.26 and 13,735.90 is: 20,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,462.64 : 50,206.26 = 13,735.90 : x
  2. Step 2: Convert to fraction form
    33,462.64/50,206.26 = 13,735.90/x
  3. Step 3: Cross multiply
    33,462.64x = 50,206.26 × 13,735.90
  4. Step 4: Simplify right side
    33,462.64x = 689,628,166.73
  5. Step 5: Solve for x
    x = 689,628,166.73/33,462.64
  6. Step 6: Final answer
    x = 20,608.90

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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.