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Finding the Fourth Proportional to 33,205.16, 49,809.06 and 11,020.52

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Solution

The fourth proportional to 33,205.16, 49,809.06 and 11,020.52 is: 16,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.16 : 49,809.06 = 11,020.52 : x
  2. Step 2: Convert to fraction form
    33,205.16/49,809.06 = 11,020.52/x
  3. Step 3: Cross multiply
    33,205.16x = 49,809.06 × 11,020.52
  4. Step 4: Simplify right side
    33,205.16x = 548,921,741.91
  5. Step 5: Solve for x
    x = 548,921,741.91/33,205.16
  6. Step 6: Final answer
    x = 16,531.22

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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.