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Finding the Fourth Proportional to 33,115.80, 49,674.90 and 9,744.60

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Solution

The fourth proportional to 33,115.80, 49,674.90 and 9,744.60 is: 14,617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,115.80 : 49,674.90 = 9,744.60 : x
  2. Step 2: Convert to fraction form
    33,115.80/49,674.90 = 9,744.60/x
  3. Step 3: Cross multiply
    33,115.80x = 49,674.90 × 9,744.60
  4. Step 4: Simplify right side
    33,115.80x = 484,062,030.54
  5. Step 5: Solve for x
    x = 484,062,030.54/33,115.80
  6. Step 6: Final answer
    x = 14,617.25

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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.