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Finding the Fourth Proportional to 33,005.82, 49,513.80 and 10,813.84

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Solution

The fourth proportional to 33,005.82, 49,513.80 and 10,813.84 is: 16,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.82 : 49,513.80 = 10,813.84 : x
  2. Step 2: Convert to fraction form
    33,005.82/49,513.80 = 10,813.84/x
  3. Step 3: Cross multiply
    33,005.82x = 49,513.80 × 10,813.84
  4. Step 4: Simplify right side
    33,005.82x = 535,434,310.99
  5. Step 5: Solve for x
    x = 535,434,310.99/33,005.82
  6. Step 6: Final answer
    x = 16,222.42

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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.