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Finding the Fourth Proportional to 33,210.80, 49,817.11 and 8,249.84

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Solution

The fourth proportional to 33,210.80, 49,817.11 and 8,249.84 is: 12,374.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,210.80 : 49,817.11 = 8,249.84 : x
  2. Step 2: Convert to fraction form
    33,210.80/49,817.11 = 8,249.84/x
  3. Step 3: Cross multiply
    33,210.80x = 49,817.11 × 8,249.84
  4. Step 4: Simplify right side
    33,210.80x = 410,983,186.76
  5. Step 5: Solve for x
    x = 410,983,186.76/33,210.80
  6. Step 6: Final answer
    x = 12,374.99

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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.