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Finding the Fourth Proportional to 29,912.70, 44,869.05 and 17,446.80

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Solution

The fourth proportional to 29,912.70, 44,869.05 and 17,446.80 is: 26,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,912.70 : 44,869.05 = 17,446.80 : x
  2. Step 2: Convert to fraction form
    29,912.70/44,869.05 = 17,446.80/x
  3. Step 3: Cross multiply
    29,912.70x = 44,869.05 × 17,446.80
  4. Step 4: Simplify right side
    29,912.70x = 782,821,341.54
  5. Step 5: Solve for x
    x = 782,821,341.54/29,912.70
  6. Step 6: Final answer
    x = 26,170.20

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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.