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Finding the Fourth Proportional to 29,806, 44,640.96 and 14,234.56

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Solution

The fourth proportional to 29,806, 44,640.96 and 14,234.56 is: 21,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,806 : 44,640.96 = 14,234.56 : x
  2. Step 2: Convert to fraction form
    29,806/44,640.96 = 14,234.56/x
  3. Step 3: Cross multiply
    29,806x = 44,640.96 × 14,234.56
  4. Step 4: Simplify right side
    29,806x = 635,444,423.58
  5. Step 5: Solve for x
    x = 635,444,423.58/29,806
  6. Step 6: Final answer
    x = 21,319.35

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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.