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Finding the Fourth Proportional to 65,583.25, 90,496.84 and 41,375.09

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Solution

The fourth proportional to 65,583.25, 90,496.84 and 41,375.09 is: 57,092.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,583.25 : 90,496.84 = 41,375.09 : x
  2. Step 2: Convert to fraction form
    65,583.25/90,496.84 = 41,375.09/x
  3. Step 3: Cross multiply
    65,583.25x = 90,496.84 × 41,375.09
  4. Step 4: Simplify right side
    65,583.25x = 3,744,314,474.69
  5. Step 5: Solve for x
    x = 3,744,314,474.69/65,583.25
  6. Step 6: Final answer
    x = 57,092.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.