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Finding the Fourth Proportional to 111,213.14, 166,828.82 and 32,327.28

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Solution

The fourth proportional to 111,213.14, 166,828.82 and 32,327.28 is: 48,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,213.14 : 166,828.82 = 32,327.28 : x
  2. Step 2: Convert to fraction form
    111,213.14/166,828.82 = 32,327.28/x
  3. Step 3: Cross multiply
    111,213.14x = 166,828.82 × 32,327.28
  4. Step 4: Simplify right side
    111,213.14x = 5,393,121,814.57
  5. Step 5: Solve for x
    x = 5,393,121,814.57/111,213.14
  6. Step 6: Final answer
    x = 48,493.57

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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.