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Finding the Fourth Proportional to 68,002.32, 101,855.52 and 32,868

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Solution

The fourth proportional to 68,002.32, 101,855.52 and 32,868 is: 49,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,002.32 : 101,855.52 = 32,868 : x
  2. Step 2: Convert to fraction form
    68,002.32/101,855.52 = 32,868/x
  3. Step 3: Cross multiply
    68,002.32x = 101,855.52 × 32,868
  4. Step 4: Simplify right side
    68,002.32x = 3,347,787,231.36
  5. Step 5: Solve for x
    x = 3,347,787,231.36/68,002.32
  6. Step 6: Final answer
    x = 49,230.49

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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.