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Finding the Fourth Proportional to 29,227, 43,840.74 and 8,450.68

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Solution

The fourth proportional to 29,227, 43,840.74 and 8,450.68 is: 12,676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,227 : 43,840.74 = 8,450.68 : x
  2. Step 2: Convert to fraction form
    29,227/43,840.74 = 8,450.68/x
  3. Step 3: Cross multiply
    29,227x = 43,840.74 × 8,450.68
  4. Step 4: Simplify right side
    29,227x = 370,484,064.70
  5. Step 5: Solve for x
    x = 370,484,064.70/29,227
  6. Step 6: Final answer
    x = 12,676.09

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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.