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Finding the Fourth Proportional to 33,106.24, 49,660.64 and 8,482.24

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Solution

The fourth proportional to 33,106.24, 49,660.64 and 8,482.24 is: 12,723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,106.24 : 49,660.64 = 8,482.24 : x
  2. Step 2: Convert to fraction form
    33,106.24/49,660.64 = 8,482.24/x
  3. Step 3: Cross multiply
    33,106.24x = 49,660.64 × 8,482.24
  4. Step 4: Simplify right side
    33,106.24x = 421,233,467.03
  5. Step 5: Solve for x
    x = 421,233,467.03/33,106.24
  6. Step 6: Final answer
    x = 12,723.69

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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.