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Finding the Fourth Proportional to 150,644.45, 225,968.22 and 38,324.72

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Solution

The fourth proportional to 150,644.45, 225,968.22 and 38,324.72 is: 57,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,644.45 : 225,968.22 = 38,324.72 : x
  2. Step 2: Convert to fraction form
    150,644.45/225,968.22 = 38,324.72/x
  3. Step 3: Cross multiply
    150,644.45x = 225,968.22 × 38,324.72
  4. Step 4: Simplify right side
    150,644.45x = 8,660,167,630.56
  5. Step 5: Solve for x
    x = 8,660,167,630.56/150,644.45
  6. Step 6: Final answer
    x = 57,487.47

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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.