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Finding the Fourth Proportional to 65,226.64, 90,067.92 and 41,395.60

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Solution

The fourth proportional to 65,226.64, 90,067.92 and 41,395.60 is: 57,160.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,226.64 : 90,067.92 = 41,395.60 : x
  2. Step 2: Convert to fraction form
    65,226.64/90,067.92 = 41,395.60/x
  3. Step 3: Cross multiply
    65,226.64x = 90,067.92 × 41,395.60
  4. Step 4: Simplify right side
    65,226.64x = 3,728,415,589.15
  5. Step 5: Solve for x
    x = 3,728,415,589.15/65,226.64
  6. Step 6: Final answer
    x = 57,160.93

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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.