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Finding the Fourth Proportional to 81,644.50, 122,466.84 and 32,396.50

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Solution

The fourth proportional to 81,644.50, 122,466.84 and 32,396.50 is: 48,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,644.50 : 122,466.84 = 32,396.50 : x
  2. Step 2: Convert to fraction form
    81,644.50/122,466.84 = 32,396.50/x
  3. Step 3: Cross multiply
    81,644.50x = 122,466.84 × 32,396.50
  4. Step 4: Simplify right side
    81,644.50x = 3,967,496,982.06
  5. Step 5: Solve for x
    x = 3,967,496,982.06/81,644.50
  6. Step 6: Final answer
    x = 48,594.79

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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.