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Finding the Fourth Proportional to 111,226.65, 166,849.08 and 32,340.78

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Solution

The fourth proportional to 111,226.65, 166,849.08 and 32,340.78 is: 48,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,226.65 : 166,849.08 = 32,340.78 : x
  2. Step 2: Convert to fraction form
    111,226.65/166,849.08 = 32,340.78/x
  3. Step 3: Cross multiply
    111,226.65x = 166,849.08 × 32,340.78
  4. Step 4: Simplify right side
    111,226.65x = 5,396,029,389.48
  5. Step 5: Solve for x
    x = 5,396,029,389.48/111,226.65
  6. Step 6: Final answer
    x = 48,513.82

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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.