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Finding the Fourth Proportional to 29,003.50, 43,512.54 and 8,227

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Solution

The fourth proportional to 29,003.50, 43,512.54 and 8,227 is: 12,342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,003.50 : 43,512.54 = 8,227 : x
  2. Step 2: Convert to fraction form
    29,003.50/43,512.54 = 8,227/x
  3. Step 3: Cross multiply
    29,003.50x = 43,512.54 × 8,227
  4. Step 4: Simplify right side
    29,003.50x = 357,977,666.58
  5. Step 5: Solve for x
    x = 357,977,666.58/29,003.50
  6. Step 6: Final answer
    x = 12,342.57

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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.