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Finding the Fourth Proportional to 106,102.33, 159,151.17 and 49,911.31

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Solution

The fourth proportional to 106,102.33, 159,151.17 and 49,911.31 is: 74,865.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,102.33 : 159,151.17 = 49,911.31 : x
  2. Step 2: Convert to fraction form
    106,102.33/159,151.17 = 49,911.31/x
  3. Step 3: Cross multiply
    106,102.33x = 159,151.17 × 49,911.31
  4. Step 4: Simplify right side
    106,102.33x = 7,943,443,382.73
  5. Step 5: Solve for x
    x = 7,943,443,382.73/106,102.33
  6. Step 6: Final answer
    x = 74,865.87

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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.