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Finding the Fourth Proportional to 32,563.57, 48,846.36 and 11,216.05

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Solution

The fourth proportional to 32,563.57, 48,846.36 and 11,216.05 is: 16,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,563.57 : 48,846.36 = 11,216.05 : x
  2. Step 2: Convert to fraction form
    32,563.57/48,846.36 = 11,216.05/x
  3. Step 3: Cross multiply
    32,563.57x = 48,846.36 × 11,216.05
  4. Step 4: Simplify right side
    32,563.57x = 547,863,216.08
  5. Step 5: Solve for x
    x = 547,863,216.08/32,563.57
  6. Step 6: Final answer
    x = 16,824.42

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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.