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Finding the Fourth Proportional to 71,694.44, 107,476.06 and 30,144.36

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Solution

The fourth proportional to 71,694.44, 107,476.06 and 30,144.36 is: 45,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,694.44 : 107,476.06 = 30,144.36 : x
  2. Step 2: Convert to fraction form
    71,694.44/107,476.06 = 30,144.36/x
  3. Step 3: Cross multiply
    71,694.44x = 107,476.06 × 30,144.36
  4. Step 4: Simplify right side
    71,694.44x = 3,239,797,044.02
  5. Step 5: Solve for x
    x = 3,239,797,044.02/71,694.44
  6. Step 6: Final answer
    x = 45,188.96

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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.