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Finding the Fourth Proportional to 77,672.26, 107,191.62 and 43,691.44

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Solution

The fourth proportional to 77,672.26, 107,191.62 and 43,691.44 is: 60,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,672.26 : 107,191.62 = 43,691.44 : x
  2. Step 2: Convert to fraction form
    77,672.26/107,191.62 = 43,691.44/x
  3. Step 3: Cross multiply
    77,672.26x = 107,191.62 × 43,691.44
  4. Step 4: Simplify right side
    77,672.26x = 4,683,356,233.73
  5. Step 5: Solve for x
    x = 4,683,356,233.73/77,672.26
  6. Step 6: Final answer
    x = 60,296.38

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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.