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Finding the Fourth Proportional to 32,331, 48,493.26 and 10,144.56

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Solution

The fourth proportional to 32,331, 48,493.26 and 10,144.56 is: 15,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,331 : 48,493.26 = 10,144.56 : x
  2. Step 2: Convert to fraction form
    32,331/48,493.26 = 10,144.56/x
  3. Step 3: Cross multiply
    32,331x = 48,493.26 × 10,144.56
  4. Step 4: Simplify right side
    32,331x = 491,942,785.67
  5. Step 5: Solve for x
    x = 491,942,785.67/32,331
  6. Step 6: Final answer
    x = 15,215.82

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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.