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Finding the Fourth Proportional to 68,004.88, 101,951.16 and 30,027.10

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Solution

The fourth proportional to 68,004.88, 101,951.16 and 30,027.10 is: 45,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,004.88 : 101,951.16 = 30,027.10 : x
  2. Step 2: Convert to fraction form
    68,004.88/101,951.16 = 30,027.10/x
  3. Step 3: Cross multiply
    68,004.88x = 101,951.16 × 30,027.10
  4. Step 4: Simplify right side
    68,004.88x = 3,061,297,676.44
  5. Step 5: Solve for x
    x = 3,061,297,676.44/68,004.88
  6. Step 6: Final answer
    x = 45,015.85

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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.