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Finding the Fourth Proportional to 106,596.52, 159,866.92 and 31,696.48

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Solution

The fourth proportional to 106,596.52, 159,866.92 and 31,696.48 is: 47,536.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,596.52 : 159,866.92 = 31,696.48 : x
  2. Step 2: Convert to fraction form
    106,596.52/159,866.92 = 31,696.48/x
  3. Step 3: Cross multiply
    106,596.52x = 159,866.92 × 31,696.48
  4. Step 4: Simplify right side
    106,596.52x = 5,067,218,632.44
  5. Step 5: Solve for x
    x = 5,067,218,632.44/106,596.52
  6. Step 6: Final answer
    x = 47,536.44

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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.