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Finding the Fourth Proportional to 49,469.70, 74,203.50 and 12,029.96

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Solution

The fourth proportional to 49,469.70, 74,203.50 and 12,029.96 is: 18,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,469.70 : 74,203.50 = 12,029.96 : x
  2. Step 2: Convert to fraction form
    49,469.70/74,203.50 = 12,029.96/x
  3. Step 3: Cross multiply
    49,469.70x = 74,203.50 × 12,029.96
  4. Step 4: Simplify right side
    49,469.70x = 892,665,136.86
  5. Step 5: Solve for x
    x = 892,665,136.86/49,469.70
  6. Step 6: Final answer
    x = 18,044.68

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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.