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Finding the Fourth Proportional to 29,249.32, 43,874.94 and 8,473

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Solution

The fourth proportional to 29,249.32, 43,874.94 and 8,473 is: 12,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,249.32 : 43,874.94 = 8,473 : x
  2. Step 2: Convert to fraction form
    29,249.32/43,874.94 = 8,473/x
  3. Step 3: Cross multiply
    29,249.32x = 43,874.94 × 8,473
  4. Step 4: Simplify right side
    29,249.32x = 371,752,366.62
  5. Step 5: Solve for x
    x = 371,752,366.62/29,249.32
  6. Step 6: Final answer
    x = 12,709.78

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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.