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Finding the Fourth Proportional to 73,294.26, 101,146.46 and 41,462.48

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Solution

The fourth proportional to 73,294.26, 101,146.46 and 41,462.48 is: 57,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,294.26 : 101,146.46 = 41,462.48 : x
  2. Step 2: Convert to fraction form
    73,294.26/101,146.46 = 41,462.48/x
  3. Step 3: Cross multiply
    73,294.26x = 101,146.46 × 41,462.48
  4. Step 4: Simplify right side
    73,294.26x = 4,193,782,361.78
  5. Step 5: Solve for x
    x = 4,193,782,361.78/73,294.26
  6. Step 6: Final answer
    x = 57,218.43

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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.