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Finding the Fourth Proportional to 110,626.66, 165,949.56 and 47,449.70

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Solution

The fourth proportional to 110,626.66, 165,949.56 and 47,449.70 is: 71,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,626.66 : 165,949.56 = 47,449.70 : x
  2. Step 2: Convert to fraction form
    110,626.66/165,949.56 = 47,449.70/x
  3. Step 3: Cross multiply
    110,626.66x = 165,949.56 × 47,449.70
  4. Step 4: Simplify right side
    110,626.66x = 7,874,256,629.70
  5. Step 5: Solve for x
    x = 7,874,256,629.70/110,626.66
  6. Step 6: Final answer
    x = 71,178.65

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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.