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Finding the Fourth Proportional to 32,286.90, 48,427.62 and 11,221.54

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Solution

The fourth proportional to 32,286.90, 48,427.62 and 11,221.54 is: 16,831.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286.90 : 48,427.62 = 11,221.54 : x
  2. Step 2: Convert to fraction form
    32,286.90/48,427.62 = 11,221.54/x
  3. Step 3: Cross multiply
    32,286.90x = 48,427.62 × 11,221.54
  4. Step 4: Simplify right side
    32,286.90x = 543,432,374.91
  5. Step 5: Solve for x
    x = 543,432,374.91/32,286.90
  6. Step 6: Final answer
    x = 16,831.36

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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.