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Finding the Fourth Proportional to 111,224.47, 166,865.15 and 32,338.70

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Solution

The fourth proportional to 111,224.47, 166,865.15 and 32,338.70 is: 48,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,224.47 : 166,865.15 = 32,338.70 : x
  2. Step 2: Convert to fraction form
    111,224.47/166,865.15 = 32,338.70/x
  3. Step 3: Cross multiply
    111,224.47x = 166,865.15 × 32,338.70
  4. Step 4: Simplify right side
    111,224.47x = 5,396,201,985.88
  5. Step 5: Solve for x
    x = 5,396,201,985.88/111,224.47
  6. Step 6: Final answer
    x = 48,516.32

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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.