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Finding the Fourth Proportional to 33,584.67, 50,384.49 and 10,212.93

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Solution

The fourth proportional to 33,584.67, 50,384.49 and 10,212.93 is: 15,321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,584.67 : 50,384.49 = 10,212.93 : x
  2. Step 2: Convert to fraction form
    33,584.67/50,384.49 = 10,212.93/x
  3. Step 3: Cross multiply
    33,584.67x = 50,384.49 × 10,212.93
  4. Step 4: Simplify right side
    33,584.67x = 514,573,269.46
  5. Step 5: Solve for x
    x = 514,573,269.46/33,584.67
  6. Step 6: Final answer
    x = 15,321.67

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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.