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Finding the Fourth Proportional to 33,824.68, 50,735.76 and 10,451.08

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Solution

The fourth proportional to 33,824.68, 50,735.76 and 10,451.08 is: 15,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,824.68 : 50,735.76 = 10,451.08 : x
  2. Step 2: Convert to fraction form
    33,824.68/50,735.76 = 10,451.08/x
  3. Step 3: Cross multiply
    33,824.68x = 50,735.76 × 10,451.08
  4. Step 4: Simplify right side
    33,824.68x = 530,243,486.62
  5. Step 5: Solve for x
    x = 530,243,486.62/33,824.68
  6. Step 6: Final answer
    x = 15,676.23

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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.