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Finding the Fourth Proportional to 54,893.43, 75,711.13 and 47,249.71

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Solution

The fourth proportional to 54,893.43, 75,711.13 and 47,249.71 is: 65,168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,893.43 : 75,711.13 = 47,249.71 : x
  2. Step 2: Convert to fraction form
    54,893.43/75,711.13 = 47,249.71/x
  3. Step 3: Cross multiply
    54,893.43x = 75,711.13 × 47,249.71
  4. Step 4: Simplify right side
    54,893.43x = 3,577,328,628.87
  5. Step 5: Solve for x
    x = 3,577,328,628.87/54,893.43
  6. Step 6: Final answer
    x = 65,168.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.