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Finding the Fourth Proportional to 32,367.68, 48,555 and 10,181.72

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Solution

The fourth proportional to 32,367.68, 48,555 and 10,181.72 is: 15,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,367.68 : 48,555 = 10,181.72 : x
  2. Step 2: Convert to fraction form
    32,367.68/48,555 = 10,181.72/x
  3. Step 3: Cross multiply
    32,367.68x = 48,555 × 10,181.72
  4. Step 4: Simplify right side
    32,367.68x = 494,373,414.60
  5. Step 5: Solve for x
    x = 494,373,414.60/32,367.68
  6. Step 6: Final answer
    x = 15,273.67

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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.