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Finding the Fourth Proportional to 111,321.54, 166,966.11 and 32,414.58

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Solution

The fourth proportional to 111,321.54, 166,966.11 and 32,414.58 is: 48,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,321.54 : 166,966.11 = 32,414.58 : x
  2. Step 2: Convert to fraction form
    111,321.54/166,966.11 = 32,414.58/x
  3. Step 3: Cross multiply
    111,321.54x = 166,966.11 × 32,414.58
  4. Step 4: Simplify right side
    111,321.54x = 5,412,136,329.88
  5. Step 5: Solve for x
    x = 5,412,136,329.88/111,321.54
  6. Step 6: Final answer
    x = 48,617.15

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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.