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Finding the Fourth Proportional to 33,635.44, 50,459.76 and 9,619.96

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Solution

The fourth proportional to 33,635.44, 50,459.76 and 9,619.96 is: 14,431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,635.44 : 50,459.76 = 9,619.96 : x
  2. Step 2: Convert to fraction form
    33,635.44/50,459.76 = 9,619.96/x
  3. Step 3: Cross multiply
    33,635.44x = 50,459.76 × 9,619.96
  4. Step 4: Simplify right side
    33,635.44x = 485,420,872.81
  5. Step 5: Solve for x
    x = 485,420,872.81/33,635.44
  6. Step 6: Final answer
    x = 14,431.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.