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Finding the Fourth Proportional to 65,850.96, 98,786.81 and 21,467.42

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Solution

The fourth proportional to 65,850.96, 98,786.81 and 21,467.42 is: 32,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,850.96 : 98,786.81 = 21,467.42 : x
  2. Step 2: Convert to fraction form
    65,850.96/98,786.81 = 21,467.42/x
  3. Step 3: Cross multiply
    65,850.96x = 98,786.81 × 21,467.42
  4. Step 4: Simplify right side
    65,850.96x = 2,120,697,940.73
  5. Step 5: Solve for x
    x = 2,120,697,940.73/65,850.96
  6. Step 6: Final answer
    x = 32,204.51

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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.