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Finding the Fourth Proportional to 106,295.73, 159,471.01 and 39,736.36

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Solution

The fourth proportional to 106,295.73, 159,471.01 and 39,736.36 is: 59,614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,295.73 : 159,471.01 = 39,736.36 : x
  2. Step 2: Convert to fraction form
    106,295.73/159,471.01 = 39,736.36/x
  3. Step 3: Cross multiply
    106,295.73x = 159,471.01 × 39,736.36
  4. Step 4: Simplify right side
    106,295.73x = 6,336,797,462.92
  5. Step 5: Solve for x
    x = 6,336,797,462.92/106,295.73
  6. Step 6: Final answer
    x = 59,614.79

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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.