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Finding the Fourth Proportional to 32,215.46, 48,311.61 and 11,149.79

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Solution

The fourth proportional to 32,215.46, 48,311.61 and 11,149.79 is: 16,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,215.46 : 48,311.61 = 11,149.79 : x
  2. Step 2: Convert to fraction form
    32,215.46/48,311.61 = 11,149.79/x
  3. Step 3: Cross multiply
    32,215.46x = 48,311.61 × 11,149.79
  4. Step 4: Simplify right side
    32,215.46x = 538,664,008.75
  5. Step 5: Solve for x
    x = 538,664,008.75/32,215.46
  6. Step 6: Final answer
    x = 16,720.67

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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.