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Finding the Fourth Proportional to 29,605.50, 44,408.25 and 9,879.57

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Solution

The fourth proportional to 29,605.50, 44,408.25 and 9,879.57 is: 14,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,605.50 : 44,408.25 = 9,879.57 : x
  2. Step 2: Convert to fraction form
    29,605.50/44,408.25 = 9,879.57/x
  3. Step 3: Cross multiply
    29,605.50x = 44,408.25 × 9,879.57
  4. Step 4: Simplify right side
    29,605.50x = 438,734,414.45
  5. Step 5: Solve for x
    x = 438,734,414.45/29,605.50
  6. Step 6: Final answer
    x = 14,819.36

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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.