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Finding the Fourth Proportional to 33,136.76, 49,697.69 and 9,443.82

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Solution

The fourth proportional to 33,136.76, 49,697.69 and 9,443.82 is: 14,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,136.76 : 49,697.69 = 9,443.82 : x
  2. Step 2: Convert to fraction form
    33,136.76/49,697.69 = 9,443.82/x
  3. Step 3: Cross multiply
    33,136.76x = 49,697.69 × 9,443.82
  4. Step 4: Simplify right side
    33,136.76x = 469,336,177.92
  5. Step 5: Solve for x
    x = 469,336,177.92/33,136.76
  6. Step 6: Final answer
    x = 14,163.61

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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.