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Finding the Fourth Proportional to 68,431.01, 102,651.03 and 32,899.82

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Solution

The fourth proportional to 68,431.01, 102,651.03 and 32,899.82 is: 49,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,431.01 : 102,651.03 = 32,899.82 : x
  2. Step 2: Convert to fraction form
    68,431.01/102,651.03 = 32,899.82/x
  3. Step 3: Cross multiply
    68,431.01x = 102,651.03 × 32,899.82
  4. Step 4: Simplify right side
    68,431.01x = 3,377,199,896.56
  5. Step 5: Solve for x
    x = 3,377,199,896.56/68,431.01
  6. Step 6: Final answer
    x = 49,351.90

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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.