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Finding the Fourth Proportional to 32,016.42, 48,023.19 and 8,323.92

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Solution

The fourth proportional to 32,016.42, 48,023.19 and 8,323.92 is: 12,485.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016.42 : 48,023.19 = 8,323.92 : x
  2. Step 2: Convert to fraction form
    32,016.42/48,023.19 = 8,323.92/x
  3. Step 3: Cross multiply
    32,016.42x = 48,023.19 × 8,323.92
  4. Step 4: Simplify right side
    32,016.42x = 399,741,191.70
  5. Step 5: Solve for x
    x = 399,741,191.70/32,016.42
  6. Step 6: Final answer
    x = 12,485.51

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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.