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Finding the Fourth Proportional to 33,205.12, 49,801.92 and 8,581.12

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Solution

The fourth proportional to 33,205.12, 49,801.92 and 8,581.12 is: 12,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.12 : 49,801.92 = 8,581.12 : x
  2. Step 2: Convert to fraction form
    33,205.12/49,801.92 = 8,581.12/x
  3. Step 3: Cross multiply
    33,205.12x = 49,801.92 × 8,581.12
  4. Step 4: Simplify right side
    33,205.12x = 427,356,251.75
  5. Step 5: Solve for x
    x = 427,356,251.75/33,205.12
  6. Step 6: Final answer
    x = 12,870.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.