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Finding the Fourth Proportional to 33,382.73, 50,124.22 and 31,777.72

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Solution

The fourth proportional to 33,382.73, 50,124.22 and 31,777.72 is: 47,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,382.73 : 50,124.22 = 31,777.72 : x
  2. Step 2: Convert to fraction form
    33,382.73/50,124.22 = 31,777.72/x
  3. Step 3: Cross multiply
    33,382.73x = 50,124.22 × 31,777.72
  4. Step 4: Simplify right side
    33,382.73x = 1,592,833,223.62
  5. Step 5: Solve for x
    x = 1,592,833,223.62/33,382.73
  6. Step 6: Final answer
    x = 47,714.29

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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.