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Finding the Fourth Proportional to 56,137.62, 84,161.76 and 32,418.24

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Solution

The fourth proportional to 56,137.62, 84,161.76 and 32,418.24 is: 48,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,137.62 : 84,161.76 = 32,418.24 : x
  2. Step 2: Convert to fraction form
    56,137.62/84,161.76 = 32,418.24/x
  3. Step 3: Cross multiply
    56,137.62x = 84,161.76 × 32,418.24
  4. Step 4: Simplify right side
    56,137.62x = 2,728,376,134.50
  5. Step 5: Solve for x
    x = 2,728,376,134.50/56,137.62
  6. Step 6: Final answer
    x = 48,601.56

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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.