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Finding the Fourth Proportional to 29,144, 43,723.38 and 8,367.50

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Solution

The fourth proportional to 29,144, 43,723.38 and 8,367.50 is: 12,553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,144 : 43,723.38 = 8,367.50 : x
  2. Step 2: Convert to fraction form
    29,144/43,723.38 = 8,367.50/x
  3. Step 3: Cross multiply
    29,144x = 43,723.38 × 8,367.50
  4. Step 4: Simplify right side
    29,144x = 365,855,382.15
  5. Step 5: Solve for x
    x = 365,855,382.15/29,144
  6. Step 6: Final answer
    x = 12,553.37

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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.