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Finding the Fourth Proportional to 32,234.85, 48,323.12 and 11,453.49

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Solution

The fourth proportional to 32,234.85, 48,323.12 and 11,453.49 is: 17,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,234.85 : 48,323.12 = 11,453.49 : x
  2. Step 2: Convert to fraction form
    32,234.85/48,323.12 = 11,453.49/x
  3. Step 3: Cross multiply
    32,234.85x = 48,323.12 × 11,453.49
  4. Step 4: Simplify right side
    32,234.85x = 553,468,314.42
  5. Step 5: Solve for x
    x = 553,468,314.42/32,234.85
  6. Step 6: Final answer
    x = 17,169.87

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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.