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Finding the Fourth Proportional to 111,694.74, 167,533.90 and 32,815.14

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Solution

The fourth proportional to 111,694.74, 167,533.90 and 32,815.14 is: 49,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,694.74 : 167,533.90 = 32,815.14 : x
  2. Step 2: Convert to fraction form
    111,694.74/167,533.90 = 32,815.14/x
  3. Step 3: Cross multiply
    111,694.74x = 167,533.90 × 32,815.14
  4. Step 4: Simplify right side
    111,694.74x = 5,497,648,383.25
  5. Step 5: Solve for x
    x = 5,497,648,383.25/111,694.74
  6. Step 6: Final answer
    x = 49,220.30

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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.