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Finding the Fourth Proportional to 33,877.76, 50,833.92 and 31,311.68

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Solution

The fourth proportional to 33,877.76, 50,833.92 and 31,311.68 is: 46,983.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,877.76 : 50,833.92 = 31,311.68 : x
  2. Step 2: Convert to fraction form
    33,877.76/50,833.92 = 31,311.68/x
  3. Step 3: Cross multiply
    33,877.76x = 50,833.92 × 31,311.68
  4. Step 4: Simplify right side
    33,877.76x = 1,591,695,436.19
  5. Step 5: Solve for x
    x = 1,591,695,436.19/33,877.76
  6. Step 6: Final answer
    x = 46,983.49

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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.