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Finding the Fourth Proportional to 110,959.87, 166,441.03 and 32,074.78

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Solution

The fourth proportional to 110,959.87, 166,441.03 and 32,074.78 is: 48,112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,959.87 : 166,441.03 = 32,074.78 : x
  2. Step 2: Convert to fraction form
    110,959.87/166,441.03 = 32,074.78/x
  3. Step 3: Cross multiply
    110,959.87x = 166,441.03 × 32,074.78
  4. Step 4: Simplify right side
    110,959.87x = 5,338,559,259.85
  5. Step 5: Solve for x
    x = 5,338,559,259.85/110,959.87
  6. Step 6: Final answer
    x = 48,112.52

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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.