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Finding the Fourth Proportional to 101,046.24, 151,662.72 and 51,161.44

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Solution

The fourth proportional to 101,046.24, 151,662.72 and 51,161.44 is: 76,789.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,046.24 : 151,662.72 = 51,161.44 : x
  2. Step 2: Convert to fraction form
    101,046.24/151,662.72 = 51,161.44/x
  3. Step 3: Cross multiply
    101,046.24x = 151,662.72 × 51,161.44
  4. Step 4: Simplify right side
    101,046.24x = 7,759,283,149.52
  5. Step 5: Solve for x
    x = 7,759,283,149.52/101,046.24
  6. Step 6: Final answer
    x = 76,789.43

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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.