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Finding the Fourth Proportional to 53,786.60, 80,696.10 and 38,234.60

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Solution

The fourth proportional to 53,786.60, 80,696.10 and 38,234.60 is: 57,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,786.60 : 80,696.10 = 38,234.60 : x
  2. Step 2: Convert to fraction form
    53,786.60/80,696.10 = 38,234.60/x
  3. Step 3: Cross multiply
    53,786.60x = 80,696.10 × 38,234.60
  4. Step 4: Simplify right side
    53,786.60x = 3,085,383,105.06
  5. Step 5: Solve for x
    x = 3,085,383,105.06/53,786.60
  6. Step 6: Final answer
    x = 57,363.42

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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.