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Finding the Fourth Proportional to 29,073.71, 43,610.61 and 8,297.21

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Solution

The fourth proportional to 29,073.71, 43,610.61 and 8,297.21 is: 12,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,073.71 : 43,610.61 = 8,297.21 : x
  2. Step 2: Convert to fraction form
    29,073.71/43,610.61 = 8,297.21/x
  3. Step 3: Cross multiply
    29,073.71x = 43,610.61 × 8,297.21
  4. Step 4: Simplify right side
    29,073.71x = 361,846,389.40
  5. Step 5: Solve for x
    x = 361,846,389.40/29,073.71
  6. Step 6: Final answer
    x = 12,445.83

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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.