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Finding the Fourth Proportional to 33,231.52, 49,847.28 and 13,505.46

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Solution

The fourth proportional to 33,231.52, 49,847.28 and 13,505.46 is: 20,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231.52 : 49,847.28 = 13,505.46 : x
  2. Step 2: Convert to fraction form
    33,231.52/49,847.28 = 13,505.46/x
  3. Step 3: Cross multiply
    33,231.52x = 49,847.28 × 13,505.46
  4. Step 4: Simplify right side
    33,231.52x = 673,210,446.15
  5. Step 5: Solve for x
    x = 673,210,446.15/33,231.52
  6. Step 6: Final answer
    x = 20,258.19

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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.