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Finding the Fourth Proportional to 33,824.64, 50,731.02 and 10,451.28

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Solution

The fourth proportional to 33,824.64, 50,731.02 and 10,451.28 is: 15,675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,824.64 : 50,731.02 = 10,451.28 : x
  2. Step 2: Convert to fraction form
    33,824.64/50,731.02 = 10,451.28/x
  3. Step 3: Cross multiply
    33,824.64x = 50,731.02 × 10,451.28
  4. Step 4: Simplify right side
    33,824.64x = 530,204,094.71
  5. Step 5: Solve for x
    x = 530,204,094.71/33,824.64
  6. Step 6: Final answer
    x = 15,675.08

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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.