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Finding the Fourth Proportional to 32,234.50, 48,324.22 and 12,232.80

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Solution

The fourth proportional to 32,234.50, 48,324.22 and 12,232.80 is: 18,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,234.50 : 48,324.22 = 12,232.80 : x
  2. Step 2: Convert to fraction form
    32,234.50/48,324.22 = 12,232.80/x
  3. Step 3: Cross multiply
    32,234.50x = 48,324.22 × 12,232.80
  4. Step 4: Simplify right side
    32,234.50x = 591,140,518.42
  5. Step 5: Solve for x
    x = 591,140,518.42/32,234.50
  6. Step 6: Final answer
    x = 18,338.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.