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Finding the Fourth Proportional to 54,859.91, 82,292.69 and 17,422.90

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Solution

The fourth proportional to 54,859.91, 82,292.69 and 17,422.90 is: 26,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,859.91 : 82,292.69 = 17,422.90 : x
  2. Step 2: Convert to fraction form
    54,859.91/82,292.69 = 17,422.90/x
  3. Step 3: Cross multiply
    54,859.91x = 82,292.69 × 17,422.90
  4. Step 4: Simplify right side
    54,859.91x = 1,433,777,146.43
  5. Step 5: Solve for x
    x = 1,433,777,146.43/54,859.91
  6. Step 6: Final answer
    x = 26,135.25

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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.