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Finding the Fourth Proportional to 33,408.94, 50,119.20 and 11,224.48

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Solution

The fourth proportional to 33,408.94, 50,119.20 and 11,224.48 is: 16,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,408.94 : 50,119.20 = 11,224.48 : x
  2. Step 2: Convert to fraction form
    33,408.94/50,119.20 = 11,224.48/x
  3. Step 3: Cross multiply
    33,408.94x = 50,119.20 × 11,224.48
  4. Step 4: Simplify right side
    33,408.94x = 562,561,958.02
  5. Step 5: Solve for x
    x = 562,561,958.02/33,408.94
  6. Step 6: Final answer
    x = 16,838.67

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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.