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Finding the Fourth Proportional to 53,828.70, 80,706.60 and 27,511.80

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Solution

The fourth proportional to 53,828.70, 80,706.60 and 27,511.80 is: 41,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,828.70 : 80,706.60 = 27,511.80 : x
  2. Step 2: Convert to fraction form
    53,828.70/80,706.60 = 27,511.80/x
  3. Step 3: Cross multiply
    53,828.70x = 80,706.60 × 27,511.80
  4. Step 4: Simplify right side
    53,828.70x = 2,220,383,837.88
  5. Step 5: Solve for x
    x = 2,220,383,837.88/53,828.70
  6. Step 6: Final answer
    x = 41,249.07

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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.