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Finding the Fourth Proportional to 33,226.98, 49,837.96 and 8,267.01

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Solution

The fourth proportional to 33,226.98, 49,837.96 and 8,267.01 is: 12,399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,226.98 : 49,837.96 = 8,267.01 : x
  2. Step 2: Convert to fraction form
    33,226.98/49,837.96 = 8,267.01/x
  3. Step 3: Cross multiply
    33,226.98x = 49,837.96 × 8,267.01
  4. Step 4: Simplify right side
    33,226.98x = 412,010,994.23
  5. Step 5: Solve for x
    x = 412,010,994.23/33,226.98
  6. Step 6: Final answer
    x = 12,399.89

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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.