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Finding the Fourth Proportional to 73,738, 101,758.44 and 40,204

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Solution

The fourth proportional to 73,738, 101,758.44 and 40,204 is: 55,481.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,738 : 101,758.44 = 40,204 : x
  2. Step 2: Convert to fraction form
    73,738/101,758.44 = 40,204/x
  3. Step 3: Cross multiply
    73,738x = 101,758.44 × 40,204
  4. Step 4: Simplify right side
    73,738x = 4,091,096,321.76
  5. Step 5: Solve for x
    x = 4,091,096,321.76/73,738
  6. Step 6: Final answer
    x = 55,481.52

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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.