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Finding the Fourth Proportional to 33,166.80, 49,736.16 and 9,786.96

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Solution

The fourth proportional to 33,166.80, 49,736.16 and 9,786.96 is: 14,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,166.80 : 49,736.16 = 9,786.96 : x
  2. Step 2: Convert to fraction form
    33,166.80/49,736.16 = 9,786.96/x
  3. Step 3: Cross multiply
    33,166.80x = 49,736.16 × 9,786.96
  4. Step 4: Simplify right side
    33,166.80x = 486,765,808.47
  5. Step 5: Solve for x
    x = 486,765,808.47/33,166.80
  6. Step 6: Final answer
    x = 14,676.30

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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.