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Finding the Fourth Proportional to 32,150.56, 48,216.50 and 9,660.32

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Solution

The fourth proportional to 32,150.56, 48,216.50 and 9,660.32 is: 14,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,150.56 : 48,216.50 = 9,660.32 : x
  2. Step 2: Convert to fraction form
    32,150.56/48,216.50 = 9,660.32/x
  3. Step 3: Cross multiply
    32,150.56x = 48,216.50 × 9,660.32
  4. Step 4: Simplify right side
    32,150.56x = 465,786,819.28
  5. Step 5: Solve for x
    x = 465,786,819.28/32,150.56
  6. Step 6: Final answer
    x = 14,487.67

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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.