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Finding the Fourth Proportional to 33,288.80, 49,786.24 and 29,616.80

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Solution

The fourth proportional to 33,288.80, 49,786.24 and 29,616.80 is: 44,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,288.80 : 49,786.24 = 29,616.80 : x
  2. Step 2: Convert to fraction form
    33,288.80/49,786.24 = 29,616.80/x
  3. Step 3: Cross multiply
    33,288.80x = 49,786.24 × 29,616.80
  4. Step 4: Simplify right side
    33,288.80x = 1,474,509,112.83
  5. Step 5: Solve for x
    x = 1,474,509,112.83/33,288.80
  6. Step 6: Final answer
    x = 44,294.45

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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.