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Finding the Fourth Proportional to 111,339.74, 166,976.80 and 32,429.14

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Solution

The fourth proportional to 111,339.74, 166,976.80 and 32,429.14 is: 48,634.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,339.74 : 166,976.80 = 32,429.14 : x
  2. Step 2: Convert to fraction form
    111,339.74/166,976.80 = 32,429.14/x
  3. Step 3: Cross multiply
    111,339.74x = 166,976.80 × 32,429.14
  4. Step 4: Simplify right side
    111,339.74x = 5,414,914,023.95
  5. Step 5: Solve for x
    x = 5,414,914,023.95/111,339.74
  6. Step 6: Final answer
    x = 48,634.15

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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.