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Finding the Fourth Proportional to 105,883.70, 158,791.87 and 34,789.95

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Solution

The fourth proportional to 105,883.70, 158,791.87 and 34,789.95 is: 52,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,883.70 : 158,791.87 = 34,789.95 : x
  2. Step 2: Convert to fraction form
    105,883.70/158,791.87 = 34,789.95/x
  3. Step 3: Cross multiply
    105,883.70x = 158,791.87 × 34,789.95
  4. Step 4: Simplify right side
    105,883.70x = 5,524,361,217.71
  5. Step 5: Solve for x
    x = 5,524,361,217.71/105,883.70
  6. Step 6: Final answer
    x = 52,173.86

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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.