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Finding the Fourth Proportional to 111,165.14, 166,764.10 and 32,269.08

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Solution

The fourth proportional to 111,165.14, 166,764.10 and 32,269.08 is: 48,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,165.14 : 166,764.10 = 32,269.08 : x
  2. Step 2: Convert to fraction form
    111,165.14/166,764.10 = 32,269.08/x
  3. Step 3: Cross multiply
    111,165.14x = 166,764.10 × 32,269.08
  4. Step 4: Simplify right side
    111,165.14x = 5,381,324,084.03
  5. Step 5: Solve for x
    x = 5,381,324,084.03/111,165.14
  6. Step 6: Final answer
    x = 48,408.38

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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.