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Finding the Fourth Proportional to 45,450, 68,204.16 and 22,063.68

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Solution

The fourth proportional to 45,450, 68,204.16 and 22,063.68 is: 33,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,450 : 68,204.16 = 22,063.68 : x
  2. Step 2: Convert to fraction form
    45,450/68,204.16 = 22,063.68/x
  3. Step 3: Cross multiply
    45,450x = 68,204.16 × 22,063.68
  4. Step 4: Simplify right side
    45,450x = 1,504,834,760.91
  5. Step 5: Solve for x
    x = 1,504,834,760.91/45,450
  6. Step 6: Final answer
    x = 33,109.68

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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.