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Finding the Fourth Proportional to 32,327.37, 48,490.96 and 10,142.41

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Solution

The fourth proportional to 32,327.37, 48,490.96 and 10,142.41 is: 15,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,327.37 : 48,490.96 = 10,142.41 : x
  2. Step 2: Convert to fraction form
    32,327.37/48,490.96 = 10,142.41/x
  3. Step 3: Cross multiply
    32,327.37x = 48,490.96 × 10,142.41
  4. Step 4: Simplify right side
    32,327.37x = 491,815,197.61
  5. Step 5: Solve for x
    x = 491,815,197.61/32,327.37
  6. Step 6: Final answer
    x = 15,213.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.