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Finding the Fourth Proportional to 106,640.96, 159,945.04 and 35,564.84

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Solution

The fourth proportional to 106,640.96, 159,945.04 and 35,564.84 is: 53,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,640.96 : 159,945.04 = 35,564.84 : x
  2. Step 2: Convert to fraction form
    106,640.96/159,945.04 = 35,564.84/x
  3. Step 3: Cross multiply
    106,640.96x = 159,945.04 × 35,564.84
  4. Step 4: Simplify right side
    106,640.96x = 5,688,419,756.39
  5. Step 5: Solve for x
    x = 5,688,419,756.39/106,640.96
  6. Step 6: Final answer
    x = 53,341.79

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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.