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Finding the Fourth Proportional to 32,274.18, 48,418.16 and 11,214.86

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Solution

The fourth proportional to 32,274.18, 48,418.16 and 11,214.86 is: 16,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,274.18 : 48,418.16 = 11,214.86 : x
  2. Step 2: Convert to fraction form
    32,274.18/48,418.16 = 11,214.86/x
  3. Step 3: Cross multiply
    32,274.18x = 48,418.16 × 11,214.86
  4. Step 4: Simplify right side
    32,274.18x = 543,002,587.69
  5. Step 5: Solve for x
    x = 543,002,587.69/32,274.18
  6. Step 6: Final answer
    x = 16,824.67

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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.