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Finding the Fourth Proportional to 98,059.69, 146,960.31 and 38,863.09

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Solution

The fourth proportional to 98,059.69, 146,960.31 and 38,863.09 is: 58,243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,059.69 : 146,960.31 = 38,863.09 : x
  2. Step 2: Convert to fraction form
    98,059.69/146,960.31 = 38,863.09/x
  3. Step 3: Cross multiply
    98,059.69x = 146,960.31 × 38,863.09
  4. Step 4: Simplify right side
    98,059.69x = 5,711,331,753.96
  5. Step 5: Solve for x
    x = 5,711,331,753.96/98,059.69
  6. Step 6: Final answer
    x = 58,243.42

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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.