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Finding the Fourth Proportional to 33,226.82, 49,860.98 and 13,505.37

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Solution

The fourth proportional to 33,226.82, 49,860.98 and 13,505.37 is: 20,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,226.82 : 49,860.98 = 13,505.37 : x
  2. Step 2: Convert to fraction form
    33,226.82/49,860.98 = 13,505.37/x
  3. Step 3: Cross multiply
    33,226.82x = 49,860.98 × 13,505.37
  4. Step 4: Simplify right side
    33,226.82x = 673,390,983.46
  5. Step 5: Solve for x
    x = 673,390,983.46/33,226.82
  6. Step 6: Final answer
    x = 20,266.49

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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.