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Finding the Fourth Proportional to 29,067.50, 43,601.66 and 8,291

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Solution

The fourth proportional to 29,067.50, 43,601.66 and 8,291 is: 12,436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,067.50 : 43,601.66 = 8,291 : x
  2. Step 2: Convert to fraction form
    29,067.50/43,601.66 = 8,291/x
  3. Step 3: Cross multiply
    29,067.50x = 43,601.66 × 8,291
  4. Step 4: Simplify right side
    29,067.50x = 361,501,363.06
  5. Step 5: Solve for x
    x = 361,501,363.06/29,067.50
  6. Step 6: Final answer
    x = 12,436.62

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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.