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Finding the Fourth Proportional to 32,344.30, 48,498.81 and 11,278.68

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Solution

The fourth proportional to 32,344.30, 48,498.81 and 11,278.68 is: 16,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,344.30 : 48,498.81 = 11,278.68 : x
  2. Step 2: Convert to fraction form
    32,344.30/48,498.81 = 11,278.68/x
  3. Step 3: Cross multiply
    32,344.30x = 48,498.81 × 11,278.68
  4. Step 4: Simplify right side
    32,344.30x = 547,002,558.37
  5. Step 5: Solve for x
    x = 547,002,558.37/32,344.30
  6. Step 6: Final answer
    x = 16,911.87

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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.