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Finding the Fourth Proportional to 106,481.76, 146,938.02 and 58,735.44

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Solution

The fourth proportional to 106,481.76, 146,938.02 and 58,735.44 is: 81,051.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,481.76 : 146,938.02 = 58,735.44 : x
  2. Step 2: Convert to fraction form
    106,481.76/146,938.02 = 58,735.44/x
  3. Step 3: Cross multiply
    106,481.76x = 146,938.02 × 58,735.44
  4. Step 4: Simplify right side
    106,481.76x = 8,630,469,257.43
  5. Step 5: Solve for x
    x = 8,630,469,257.43/106,481.76
  6. Step 6: Final answer
    x = 81,051.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.