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Finding the Fourth Proportional to 54,794.48, 82,195.36 and 19,251.48

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Solution

The fourth proportional to 54,794.48, 82,195.36 and 19,251.48 is: 28,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,794.48 : 82,195.36 = 19,251.48 : x
  2. Step 2: Convert to fraction form
    54,794.48/82,195.36 = 19,251.48/x
  3. Step 3: Cross multiply
    54,794.48x = 82,195.36 × 19,251.48
  4. Step 4: Simplify right side
    54,794.48x = 1,582,382,329.13
  5. Step 5: Solve for x
    x = 1,582,382,329.13/54,794.48
  6. Step 6: Final answer
    x = 28,878.50

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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.