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Finding the Fourth Proportional to 33,027.88, 49,544.16 and 13,306.54

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Solution

The fourth proportional to 33,027.88, 49,544.16 and 13,306.54 is: 19,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,027.88 : 49,544.16 = 13,306.54 : x
  2. Step 2: Convert to fraction form
    33,027.88/49,544.16 = 13,306.54/x
  3. Step 3: Cross multiply
    33,027.88x = 49,544.16 × 13,306.54
  4. Step 4: Simplify right side
    33,027.88x = 659,261,346.81
  5. Step 5: Solve for x
    x = 659,261,346.81/33,027.88
  6. Step 6: Final answer
    x = 19,960.75

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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.