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Finding the Fourth Proportional to 33,074.70, 49,615.01 and 9,382.47

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Solution

The fourth proportional to 33,074.70, 49,615.01 and 9,382.47 is: 14,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,074.70 : 49,615.01 = 9,382.47 : x
  2. Step 2: Convert to fraction form
    33,074.70/49,615.01 = 9,382.47/x
  3. Step 3: Cross multiply
    33,074.70x = 49,615.01 × 9,382.47
  4. Step 4: Simplify right side
    33,074.70x = 465,511,342.87
  5. Step 5: Solve for x
    x = 465,511,342.87/33,074.70
  6. Step 6: Final answer
    x = 14,074.54

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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.