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Finding the Fourth Proportional to 33,027.84, 49,550.94 and 13,301.78

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Solution

The fourth proportional to 33,027.84, 49,550.94 and 13,301.78 is: 19,956.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,027.84 : 49,550.94 = 13,301.78 : x
  2. Step 2: Convert to fraction form
    33,027.84/49,550.94 = 13,301.78/x
  3. Step 3: Cross multiply
    33,027.84x = 49,550.94 × 13,301.78
  4. Step 4: Simplify right side
    33,027.84x = 659,115,454.92
  5. Step 5: Solve for x
    x = 659,115,454.92/33,027.84
  6. Step 6: Final answer
    x = 19,956.36

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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.