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Finding the Fourth Proportional to 65,997.42, 91,078.24 and 37,321.38

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Solution

The fourth proportional to 65,997.42, 91,078.24 and 37,321.38 is: 51,504.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,997.42 : 91,078.24 = 37,321.38 : x
  2. Step 2: Convert to fraction form
    65,997.42/91,078.24 = 37,321.38/x
  3. Step 3: Cross multiply
    65,997.42x = 91,078.24 × 37,321.38
  4. Step 4: Simplify right side
    65,997.42x = 3,399,165,604.77
  5. Step 5: Solve for x
    x = 3,399,165,604.77/65,997.42
  6. Step 6: Final answer
    x = 51,504.52

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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.