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Finding the Fourth Proportional to 29,222.31, 43,833.82 and 8,161.08

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Solution

The fourth proportional to 29,222.31, 43,833.82 and 8,161.08 is: 12,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,222.31 : 43,833.82 = 8,161.08 : x
  2. Step 2: Convert to fraction form
    29,222.31/43,833.82 = 8,161.08/x
  3. Step 3: Cross multiply
    29,222.31x = 43,833.82 × 8,161.08
  4. Step 4: Simplify right side
    29,222.31x = 357,731,311.73
  5. Step 5: Solve for x
    x = 357,731,311.73/29,222.31
  6. Step 6: Final answer
    x = 12,241.72

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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.