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Finding the Fourth Proportional to 33,074.70, 49,613.95 and 9,380.41

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Solution

The fourth proportional to 33,074.70, 49,613.95 and 9,380.41 is: 14,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,074.70 : 49,613.95 = 9,380.41 : x
  2. Step 2: Convert to fraction form
    33,074.70/49,613.95 = 9,380.41/x
  3. Step 3: Cross multiply
    33,074.70x = 49,613.95 × 9,380.41
  4. Step 4: Simplify right side
    33,074.70x = 465,399,080.41
  5. Step 5: Solve for x
    x = 465,399,080.41/33,074.70
  6. Step 6: Final answer
    x = 14,071.15

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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.