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Finding the Fourth Proportional to 29,163.24, 43,738.38 and 8,381.88

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Solution

The fourth proportional to 29,163.24, 43,738.38 and 8,381.88 is: 12,570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,163.24 : 43,738.38 = 8,381.88 : x
  2. Step 2: Convert to fraction form
    29,163.24/43,738.38 = 8,381.88/x
  3. Step 3: Cross multiply
    29,163.24x = 43,738.38 × 8,381.88
  4. Step 4: Simplify right side
    29,163.24x = 366,609,852.55
  5. Step 5: Solve for x
    x = 366,609,852.55/29,163.24
  6. Step 6: Final answer
    x = 12,570.96

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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.