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Finding the Fourth Proportional to 48,819.75, 73,229.64 and 11,883.75

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Solution

The fourth proportional to 48,819.75, 73,229.64 and 11,883.75 is: 17,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,819.75 : 73,229.64 = 11,883.75 : x
  2. Step 2: Convert to fraction form
    48,819.75/73,229.64 = 11,883.75/x
  3. Step 3: Cross multiply
    48,819.75x = 73,229.64 × 11,883.75
  4. Step 4: Simplify right side
    48,819.75x = 870,242,734.35
  5. Step 5: Solve for x
    x = 870,242,734.35/48,819.75
  6. Step 6: Final answer
    x = 17,825.63

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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.