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Finding the Fourth Proportional to 54,893.38, 75,711.08 and 47,249.66

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Solution

The fourth proportional to 54,893.38, 75,711.08 and 47,249.66 is: 65,168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,893.38 : 75,711.08 = 47,249.66 : x
  2. Step 2: Convert to fraction form
    54,893.38/75,711.08 = 47,249.66/x
  3. Step 3: Cross multiply
    54,893.38x = 75,711.08 × 47,249.66
  4. Step 4: Simplify right side
    54,893.38x = 3,577,322,788.23
  5. Step 5: Solve for x
    x = 3,577,322,788.23/54,893.38
  6. Step 6: Final answer
    x = 65,168.56

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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.