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Finding the Fourth Proportional to 71,664.92, 107,497.62 and 21,745.44

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Solution

The fourth proportional to 71,664.92, 107,497.62 and 21,745.44 is: 32,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,664.92 : 107,497.62 = 21,745.44 : x
  2. Step 2: Convert to fraction form
    71,664.92/107,497.62 = 21,745.44/x
  3. Step 3: Cross multiply
    71,664.92x = 107,497.62 × 21,745.44
  4. Step 4: Simplify right side
    71,664.92x = 2,337,583,045.85
  5. Step 5: Solve for x
    x = 2,337,583,045.85/71,664.92
  6. Step 6: Final answer
    x = 32,618.23

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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.