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Finding the Fourth Proportional to 54,794.92, 82,196.06 and 19,251.92

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Solution

The fourth proportional to 54,794.92, 82,196.06 and 19,251.92 is: 28,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,794.92 : 82,196.06 = 19,251.92 : x
  2. Step 2: Convert to fraction form
    54,794.92/82,196.06 = 19,251.92/x
  3. Step 3: Cross multiply
    54,794.92x = 82,196.06 × 19,251.92
  4. Step 4: Simplify right side
    54,794.92x = 1,582,431,971.44
  5. Step 5: Solve for x
    x = 1,582,431,971.44/54,794.92
  6. Step 6: Final answer
    x = 28,879.17

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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.