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Finding the Fourth Proportional to 111,232.80, 166,865.46 and 32,336.78

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Solution

The fourth proportional to 111,232.80, 166,865.46 and 32,336.78 is: 48,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,232.80 : 166,865.46 = 32,336.78 : x
  2. Step 2: Convert to fraction form
    111,232.80/166,865.46 = 32,336.78/x
  3. Step 3: Cross multiply
    111,232.80x = 166,865.46 × 32,336.78
  4. Step 4: Simplify right side
    111,232.80x = 5,395,891,669.62
  5. Step 5: Solve for x
    x = 5,395,891,669.62/111,232.80
  6. Step 6: Final answer
    x = 48,509.90

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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.