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Finding the Fourth Proportional to 54,805.43, 82,208.78 and 19,267.79

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Solution

The fourth proportional to 54,805.43, 82,208.78 and 19,267.79 is: 28,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,805.43 : 82,208.78 = 19,267.79 : x
  2. Step 2: Convert to fraction form
    54,805.43/82,208.78 = 19,267.79/x
  3. Step 3: Cross multiply
    54,805.43x = 82,208.78 × 19,267.79
  4. Step 4: Simplify right side
    54,805.43x = 1,583,981,509.20
  5. Step 5: Solve for x
    x = 1,583,981,509.20/54,805.43
  6. Step 6: Final answer
    x = 28,901.91

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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.