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Finding the Fourth Proportional to 102,952.62, 154,441.42 and 36,379.12

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Solution

The fourth proportional to 102,952.62, 154,441.42 and 36,379.12 is: 54,573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,952.62 : 154,441.42 = 36,379.12 : x
  2. Step 2: Convert to fraction form
    102,952.62/154,441.42 = 36,379.12/x
  3. Step 3: Cross multiply
    102,952.62x = 154,441.42 × 36,379.12
  4. Step 4: Simplify right side
    102,952.62x = 5,618,442,951.15
  5. Step 5: Solve for x
    x = 5,618,442,951.15/102,952.62
  6. Step 6: Final answer
    x = 54,573.09

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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.