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Finding the Fourth Proportional to 106,635.25, 159,952.42 and 43,441.28

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Solution

The fourth proportional to 106,635.25, 159,952.42 and 43,441.28 is: 65,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,635.25 : 159,952.42 = 43,441.28 : x
  2. Step 2: Convert to fraction form
    106,635.25/159,952.42 = 43,441.28/x
  3. Step 3: Cross multiply
    106,635.25x = 159,952.42 × 43,441.28
  4. Step 4: Simplify right side
    106,635.25x = 6,948,536,955.53
  5. Step 5: Solve for x
    x = 6,948,536,955.53/106,635.25
  6. Step 6: Final answer
    x = 65,161.73

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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.