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Finding the Fourth Proportional to 33,098.80, 49,649.40 and 9,727.60

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Solution

The fourth proportional to 33,098.80, 49,649.40 and 9,727.60 is: 14,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,098.80 : 49,649.40 = 9,727.60 : x
  2. Step 2: Convert to fraction form
    33,098.80/49,649.40 = 9,727.60/x
  3. Step 3: Cross multiply
    33,098.80x = 49,649.40 × 9,727.60
  4. Step 4: Simplify right side
    33,098.80x = 482,969,503.44
  5. Step 5: Solve for x
    x = 482,969,503.44/33,098.80
  6. Step 6: Final answer
    x = 14,591.75

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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.