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Finding the Fourth Proportional to 29,450, 44,189.18 and 14,660.21

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Solution

The fourth proportional to 29,450, 44,189.18 and 14,660.21 is: 21,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,450 : 44,189.18 = 14,660.21 : x
  2. Step 2: Convert to fraction form
    29,450/44,189.18 = 14,660.21/x
  3. Step 3: Cross multiply
    29,450x = 44,189.18 × 14,660.21
  4. Step 4: Simplify right side
    29,450x = 647,822,658.53
  5. Step 5: Solve for x
    x = 647,822,658.53/29,450
  6. Step 6: Final answer
    x = 21,997.37

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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.