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Finding the Fourth Proportional to 68,196.80, 102,311.30 and 21,449.67

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Solution

The fourth proportional to 68,196.80, 102,311.30 and 21,449.67 is: 32,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,196.80 : 102,311.30 = 21,449.67 : x
  2. Step 2: Convert to fraction form
    68,196.80/102,311.30 = 21,449.67/x
  3. Step 3: Cross multiply
    68,196.80x = 102,311.30 × 21,449.67
  4. Step 4: Simplify right side
    68,196.80x = 2,194,543,622.27
  5. Step 5: Solve for x
    x = 2,194,543,622.27/68,196.80
  6. Step 6: Final answer
    x = 32,179.57

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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.