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Finding the Fourth Proportional to 32,321.76, 48,481.23 and 10,134.63

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Solution

The fourth proportional to 32,321.76, 48,481.23 and 10,134.63 is: 15,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,321.76 : 48,481.23 = 10,134.63 : x
  2. Step 2: Convert to fraction form
    32,321.76/48,481.23 = 10,134.63/x
  3. Step 3: Cross multiply
    32,321.76x = 48,481.23 × 10,134.63
  4. Step 4: Simplify right side
    32,321.76x = 491,339,327.99
  5. Step 5: Solve for x
    x = 491,339,327.99/32,321.76
  6. Step 6: Final answer
    x = 15,201.50

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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.