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Finding the Fourth Proportional to 73,344, 110,016 and 40,512

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Solution

The fourth proportional to 73,344, 110,016 and 40,512 is: 60,768

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,344 : 110,016 = 40,512 : x
  2. Step 2: Convert to fraction form
    73,344/110,016 = 40,512/x
  3. Step 3: Cross multiply
    73,344x = 110,016 × 40,512
  4. Step 4: Simplify right side
    73,344x = 4,456,968,192
  5. Step 5: Solve for x
    x = 4,456,968,192/73,344
  6. Step 6: Final answer
    x = 60,768

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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.