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Finding the Fourth Proportional to 45,524.62, 68,316 and 22,138.30

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Solution

The fourth proportional to 45,524.62, 68,316 and 22,138.30 is: 33,221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,524.62 : 68,316 = 22,138.30 : x
  2. Step 2: Convert to fraction form
    45,524.62/68,316 = 22,138.30/x
  3. Step 3: Cross multiply
    45,524.62x = 68,316 × 22,138.30
  4. Step 4: Simplify right side
    45,524.62x = 1,512,400,102.80
  5. Step 5: Solve for x
    x = 1,512,400,102.80/45,524.62
  6. Step 6: Final answer
    x = 33,221.59

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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.