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Finding the Fourth Proportional to 66,786.50, 100,092.26 and 37,218.26

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Solution

The fourth proportional to 66,786.50, 100,092.26 and 37,218.26 is: 55,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,786.50 : 100,092.26 = 37,218.26 : x
  2. Step 2: Convert to fraction form
    66,786.50/100,092.26 = 37,218.26/x
  3. Step 3: Cross multiply
    66,786.50x = 100,092.26 × 37,218.26
  4. Step 4: Simplify right side
    66,786.50x = 3,725,259,756.67
  5. Step 5: Solve for x
    x = 3,725,259,756.67/66,786.50
  6. Step 6: Final answer
    x = 55,778.63

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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.