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Finding the Fourth Proportional to 78,523.20, 108,361.80 and 44,067.96

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Solution

The fourth proportional to 78,523.20, 108,361.80 and 44,067.96 is: 60,813.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,523.20 : 108,361.80 = 44,067.96 : x
  2. Step 2: Convert to fraction form
    78,523.20/108,361.80 = 44,067.96/x
  3. Step 3: Cross multiply
    78,523.20x = 108,361.80 × 44,067.96
  4. Step 4: Simplify right side
    78,523.20x = 4,775,283,467.93
  5. Step 5: Solve for x
    x = 4,775,283,467.93/78,523.20
  6. Step 6: Final answer
    x = 60,813.66

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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.