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Finding the Fourth Proportional to 29,142.50, 43,721.13 and 8,366

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Solution

The fourth proportional to 29,142.50, 43,721.13 and 8,366 is: 12,551.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,142.50 : 43,721.13 = 8,366 : x
  2. Step 2: Convert to fraction form
    29,142.50/43,721.13 = 8,366/x
  3. Step 3: Cross multiply
    29,142.50x = 43,721.13 × 8,366
  4. Step 4: Simplify right side
    29,142.50x = 365,770,973.58
  5. Step 5: Solve for x
    x = 365,770,973.58/29,142.50
  6. Step 6: Final answer
    x = 12,551.12

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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.