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Finding the Fourth Proportional to 32,222.88, 48,327.84 and 10,032.66

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Solution

The fourth proportional to 32,222.88, 48,327.84 and 10,032.66 is: 15,046.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,222.88 : 48,327.84 = 10,032.66 : x
  2. Step 2: Convert to fraction form
    32,222.88/48,327.84 = 10,032.66/x
  3. Step 3: Cross multiply
    32,222.88x = 48,327.84 × 10,032.66
  4. Step 4: Simplify right side
    32,222.88x = 484,856,787.25
  5. Step 5: Solve for x
    x = 484,856,787.25/32,222.88
  6. Step 6: Final answer
    x = 15,046.97

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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.