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Finding the Fourth Proportional to 111,229.60, 166,828.20 and 32,335.60

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Solution

The fourth proportional to 111,229.60, 166,828.20 and 32,335.60 is: 48,498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,229.60 : 166,828.20 = 32,335.60 : x
  2. Step 2: Convert to fraction form
    111,229.60/166,828.20 = 32,335.60/x
  3. Step 3: Cross multiply
    111,229.60x = 166,828.20 × 32,335.60
  4. Step 4: Simplify right side
    111,229.60x = 5,394,489,943.92
  5. Step 5: Solve for x
    x = 5,394,489,943.92/111,229.60
  6. Step 6: Final answer
    x = 48,498.69

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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.