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Finding the Fourth Proportional to 33,493.82, 50,233.11 and 9,796.46

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Solution

The fourth proportional to 33,493.82, 50,233.11 and 9,796.46 is: 14,692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,493.82 : 50,233.11 = 9,796.46 : x
  2. Step 2: Convert to fraction form
    33,493.82/50,233.11 = 9,796.46/x
  3. Step 3: Cross multiply
    33,493.82x = 50,233.11 × 9,796.46
  4. Step 4: Simplify right side
    33,493.82x = 492,106,401.63
  5. Step 5: Solve for x
    x = 492,106,401.63/33,493.82
  6. Step 6: Final answer
    x = 14,692.46

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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.