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Finding the Fourth Proportional to 32,327.88, 48,442.46 and 13,597.67

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Solution

The fourth proportional to 32,327.88, 48,442.46 and 13,597.67 is: 20,375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,327.88 : 48,442.46 = 13,597.67 : x
  2. Step 2: Convert to fraction form
    32,327.88/48,442.46 = 13,597.67/x
  3. Step 3: Cross multiply
    32,327.88x = 48,442.46 × 13,597.67
  4. Step 4: Simplify right side
    32,327.88x = 658,704,274.87
  5. Step 5: Solve for x
    x = 658,704,274.87/32,327.88
  6. Step 6: Final answer
    x = 20,375.73

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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.