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Finding the Fourth Proportional to 56,136.31, 84,230.73 and 24,542.27

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Solution

The fourth proportional to 56,136.31, 84,230.73 and 24,542.27 is: 36,824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,136.31 : 84,230.73 = 24,542.27 : x
  2. Step 2: Convert to fraction form
    56,136.31/84,230.73 = 24,542.27/x
  3. Step 3: Cross multiply
    56,136.31x = 84,230.73 × 24,542.27
  4. Step 4: Simplify right side
    56,136.31x = 2,067,213,436.50
  5. Step 5: Solve for x
    x = 2,067,213,436.50/56,136.31
  6. Step 6: Final answer
    x = 36,824.89

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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.