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Finding the Fourth Proportional to 111,321.92, 166,986.12 and 32,434.40

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Solution

The fourth proportional to 111,321.92, 166,986.12 and 32,434.40 is: 48,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,321.92 : 166,986.12 = 32,434.40 : x
  2. Step 2: Convert to fraction form
    111,321.92/166,986.12 = 32,434.40/x
  3. Step 3: Cross multiply
    111,321.92x = 166,986.12 × 32,434.40
  4. Step 4: Simplify right side
    111,321.92x = 5,416,094,610.53
  5. Step 5: Solve for x
    x = 5,416,094,610.53/111,321.92
  6. Step 6: Final answer
    x = 48,652.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.