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Finding the Fourth Proportional to 110,893.60, 166,367.40 and 32,006.08

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Solution

The fourth proportional to 110,893.60, 166,367.40 and 32,006.08 is: 48,016.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,893.60 : 166,367.40 = 32,006.08 : x
  2. Step 2: Convert to fraction form
    110,893.60/166,367.40 = 32,006.08/x
  3. Step 3: Cross multiply
    110,893.60x = 166,367.40 × 32,006.08
  4. Step 4: Simplify right side
    110,893.60x = 5,324,768,313.79
  5. Step 5: Solve for x
    x = 5,324,768,313.79/110,893.60
  6. Step 6: Final answer
    x = 48,016.91

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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.