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Finding the Fourth Proportional to 29,819.80, 44,690.82 and 12,269.80

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Solution

The fourth proportional to 29,819.80, 44,690.82 and 12,269.80 is: 18,388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,819.80 : 44,690.82 = 12,269.80 : x
  2. Step 2: Convert to fraction form
    29,819.80/44,690.82 = 12,269.80/x
  3. Step 3: Cross multiply
    29,819.80x = 44,690.82 × 12,269.80
  4. Step 4: Simplify right side
    29,819.80x = 548,347,423.24
  5. Step 5: Solve for x
    x = 548,347,423.24/29,819.80
  6. Step 6: Final answer
    x = 18,388.70

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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.