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Finding the Fourth Proportional to 106,110.70, 159,167.79 and 35,991.82

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Solution

The fourth proportional to 106,110.70, 159,167.79 and 35,991.82 is: 53,988.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,110.70 : 159,167.79 = 35,991.82 : x
  2. Step 2: Convert to fraction form
    106,110.70/159,167.79 = 35,991.82/x
  3. Step 3: Cross multiply
    106,110.70x = 159,167.79 × 35,991.82
  4. Step 4: Simplify right side
    106,110.70x = 5,728,738,447.48
  5. Step 5: Solve for x
    x = 5,728,738,447.48/106,110.70
  6. Step 6: Final answer
    x = 53,988.32

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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.