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Finding the Fourth Proportional to 109,881.87, 164,847.66 and 35,006.28

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Solution

The fourth proportional to 109,881.87, 164,847.66 and 35,006.28 is: 52,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,881.87 : 164,847.66 = 35,006.28 : x
  2. Step 2: Convert to fraction form
    109,881.87/164,847.66 = 35,006.28/x
  3. Step 3: Cross multiply
    109,881.87x = 164,847.66 × 35,006.28
  4. Step 4: Simplify right side
    109,881.87x = 5,770,702,593.85
  5. Step 5: Solve for x
    x = 5,770,702,593.85/109,881.87
  6. Step 6: Final answer
    x = 52,517.33

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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.