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Finding the Fourth Proportional to 32,162.94, 48,244.68 and 12,443.76

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Solution

The fourth proportional to 32,162.94, 48,244.68 and 12,443.76 is: 18,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,162.94 : 48,244.68 = 12,443.76 : x
  2. Step 2: Convert to fraction form
    32,162.94/48,244.68 = 12,443.76/x
  3. Step 3: Cross multiply
    32,162.94x = 48,244.68 × 12,443.76
  4. Step 4: Simplify right side
    32,162.94x = 600,345,219.20
  5. Step 5: Solve for x
    x = 600,345,219.20/32,162.94
  6. Step 6: Final answer
    x = 18,665.74

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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.