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Finding the Fourth Proportional to 33,205.95, 49,790.09 and 11,006.99

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Solution

The fourth proportional to 33,205.95, 49,790.09 and 11,006.99 is: 16,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.95 : 49,790.09 = 11,006.99 : x
  2. Step 2: Convert to fraction form
    33,205.95/49,790.09 = 11,006.99/x
  3. Step 3: Cross multiply
    33,205.95x = 49,790.09 × 11,006.99
  4. Step 4: Simplify right side
    33,205.95x = 548,038,988.01
  5. Step 5: Solve for x
    x = 548,038,988.01/33,205.95
  6. Step 6: Final answer
    x = 16,504.24

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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.