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Finding the Fourth Proportional to 29,074, 43,611.42 and 8,297.50

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Solution

The fourth proportional to 29,074, 43,611.42 and 8,297.50 is: 12,446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,074 : 43,611.42 = 8,297.50 : x
  2. Step 2: Convert to fraction form
    29,074/43,611.42 = 8,297.50/x
  3. Step 3: Cross multiply
    29,074x = 43,611.42 × 8,297.50
  4. Step 4: Simplify right side
    29,074x = 361,865,757.45
  5. Step 5: Solve for x
    x = 361,865,757.45/29,074
  6. Step 6: Final answer
    x = 12,446.37

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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.