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Finding the Fourth Proportional to 111,213.64, 166,829.57 and 32,327.78

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Solution

The fourth proportional to 111,213.64, 166,829.57 and 32,327.78 is: 48,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,213.64 : 166,829.57 = 32,327.78 : x
  2. Step 2: Convert to fraction form
    111,213.64/166,829.57 = 32,327.78/x
  3. Step 3: Cross multiply
    111,213.64x = 166,829.57 × 32,327.78
  4. Step 4: Simplify right side
    111,213.64x = 5,393,229,474.82
  5. Step 5: Solve for x
    x = 5,393,229,474.82/111,213.64
  6. Step 6: Final answer
    x = 48,494.32

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1.5x scale

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.