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Finding the Fourth Proportional to 110,990.87, 166,511.24 and 32,111.24

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Solution

The fourth proportional to 110,990.87, 166,511.24 and 32,111.24 is: 48,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,990.87 : 166,511.24 = 32,111.24 : x
  2. Step 2: Convert to fraction form
    110,990.87/166,511.24 = 32,111.24/x
  3. Step 3: Cross multiply
    110,990.87x = 166,511.24 × 32,111.24
  4. Step 4: Simplify right side
    110,990.87x = 5,346,882,229.78
  5. Step 5: Solve for x
    x = 5,346,882,229.78/110,990.87
  6. Step 6: Final answer
    x = 48,174.07

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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.