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Finding the Fourth Proportional to 32,009.27, 48,016.46 and 8,635.37

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Solution

The fourth proportional to 32,009.27, 48,016.46 and 8,635.37 is: 12,953.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009.27 : 48,016.46 = 8,635.37 : x
  2. Step 2: Convert to fraction form
    32,009.27/48,016.46 = 8,635.37/x
  3. Step 3: Cross multiply
    32,009.27x = 48,016.46 × 8,635.37
  4. Step 4: Simplify right side
    32,009.27x = 414,639,679.70
  5. Step 5: Solve for x
    x = 414,639,679.70/32,009.27
  6. Step 6: Final answer
    x = 12,953.74

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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.