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Finding the Fourth Proportional to 33,074.69, 49,615.18 and 9,382.73

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Solution

The fourth proportional to 33,074.69, 49,615.18 and 9,382.73 is: 14,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,074.69 : 49,615.18 = 9,382.73 : x
  2. Step 2: Convert to fraction form
    33,074.69/49,615.18 = 9,382.73/x
  3. Step 3: Cross multiply
    33,074.69x = 49,615.18 × 9,382.73
  4. Step 4: Simplify right side
    33,074.69x = 465,525,566.31
  5. Step 5: Solve for x
    x = 465,525,566.31/33,074.69
  6. Step 6: Final answer
    x = 14,074.98

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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.