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Finding the Fourth Proportional to 29,467.82, 44,203.19 and 8,410.97

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Solution

The fourth proportional to 29,467.82, 44,203.19 and 8,410.97 is: 12,616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,467.82 : 44,203.19 = 8,410.97 : x
  2. Step 2: Convert to fraction form
    29,467.82/44,203.19 = 8,410.97/x
  3. Step 3: Cross multiply
    29,467.82x = 44,203.19 × 8,410.97
  4. Step 4: Simplify right side
    29,467.82x = 371,791,704.99
  5. Step 5: Solve for x
    x = 371,791,704.99/29,467.82
  6. Step 6: Final answer
    x = 12,616.87

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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.