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Finding the Fourth Proportional to 111,299.36, 166,965.44 and 32,403.20

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Solution

The fourth proportional to 111,299.36, 166,965.44 and 32,403.20 is: 48,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,299.36 : 166,965.44 = 32,403.20 : x
  2. Step 2: Convert to fraction form
    111,299.36/166,965.44 = 32,403.20/x
  3. Step 3: Cross multiply
    111,299.36x = 166,965.44 × 32,403.20
  4. Step 4: Simplify right side
    111,299.36x = 5,410,214,545.41
  5. Step 5: Solve for x
    x = 5,410,214,545.41/111,299.36
  6. Step 6: Final answer
    x = 48,609.57

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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.