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Finding the Fourth Proportional to 33,190.88, 49,786.32 and 9,815.50

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Solution

The fourth proportional to 33,190.88, 49,786.32 and 9,815.50 is: 14,723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,190.88 : 49,786.32 = 9,815.50 : x
  2. Step 2: Convert to fraction form
    33,190.88/49,786.32 = 9,815.50/x
  3. Step 3: Cross multiply
    33,190.88x = 49,786.32 × 9,815.50
  4. Step 4: Simplify right side
    33,190.88x = 488,677,375.03
  5. Step 5: Solve for x
    x = 488,677,375.03/33,190.88
  6. Step 6: Final answer
    x = 14,723.24

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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.