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Finding the Fourth Proportional to 33,227.88, 49,834.14 and 9,848.68

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Solution

The fourth proportional to 33,227.88, 49,834.14 and 9,848.68 is: 14,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,227.88 : 49,834.14 = 9,848.68 : x
  2. Step 2: Convert to fraction form
    33,227.88/49,834.14 = 9,848.68/x
  3. Step 3: Cross multiply
    33,227.88x = 49,834.14 × 9,848.68
  4. Step 4: Simplify right side
    33,227.88x = 490,800,497.94
  5. Step 5: Solve for x
    x = 490,800,497.94/33,227.88
  6. Step 6: Final answer
    x = 14,770.74

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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.