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Finding the Fourth Proportional to 33,454.29, 50,137.70 and 13,709.73

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Solution

The fourth proportional to 33,454.29, 50,137.70 and 13,709.73 is: 20,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,454.29 : 50,137.70 = 13,709.73 : x
  2. Step 2: Convert to fraction form
    33,454.29/50,137.70 = 13,709.73/x
  3. Step 3: Cross multiply
    33,454.29x = 50,137.70 × 13,709.73
  4. Step 4: Simplify right side
    33,454.29x = 687,374,261.27
  5. Step 5: Solve for x
    x = 687,374,261.27/33,454.29
  6. Step 6: Final answer
    x = 20,546.67

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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.