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Finding the Fourth Proportional to 33,019.56, 45,567 and 17,912.16

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Solution

The fourth proportional to 33,019.56, 45,567 and 17,912.16 is: 24,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,019.56 : 45,567 = 17,912.16 : x
  2. Step 2: Convert to fraction form
    33,019.56/45,567 = 17,912.16/x
  3. Step 3: Cross multiply
    33,019.56x = 45,567 × 17,912.16
  4. Step 4: Simplify right side
    33,019.56x = 816,203,394.72
  5. Step 5: Solve for x
    x = 816,203,394.72/33,019.56
  6. Step 6: Final answer
    x = 24,718.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.