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Finding the Fourth Proportional to 29,431.00, 44,141.76 and 8,078.73

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Solution

The fourth proportional to 29,431.00, 44,141.76 and 8,078.73 is: 12,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,431.00 : 44,141.76 = 8,078.73 : x
  2. Step 2: Convert to fraction form
    29,431.00/44,141.76 = 8,078.73/x
  3. Step 3: Cross multiply
    29,431.00x = 44,141.76 × 8,078.73
  4. Step 4: Simplify right side
    29,431.00x = 356,609,355.44
  5. Step 5: Solve for x
    x = 356,609,355.44/29,431.00
  6. Step 6: Final answer
    x = 12,116.79

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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.