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Finding the Fourth Proportional to 100,819.92, 151,229.88 and 37,644.97

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Solution

The fourth proportional to 100,819.92, 151,229.88 and 37,644.97 is: 56,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,819.92 : 151,229.88 = 37,644.97 : x
  2. Step 2: Convert to fraction form
    100,819.92/151,229.88 = 37,644.97/x
  3. Step 3: Cross multiply
    100,819.92x = 151,229.88 × 37,644.97
  4. Step 4: Simplify right side
    100,819.92x = 5,693,043,539.55
  5. Step 5: Solve for x
    x = 5,693,043,539.55/100,819.92
  6. Step 6: Final answer
    x = 56,467.45

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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.