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Finding the Fourth Proportional to 33,901.96, 50,833.50 and 31,945

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Solution

The fourth proportional to 33,901.96, 50,833.50 and 31,945 is: 47,899.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,901.96 : 50,833.50 = 31,945 : x
  2. Step 2: Convert to fraction form
    33,901.96/50,833.50 = 31,945/x
  3. Step 3: Cross multiply
    33,901.96x = 50,833.50 × 31,945
  4. Step 4: Simplify right side
    33,901.96x = 1,623,876,157.50
  5. Step 5: Solve for x
    x = 1,623,876,157.50/33,901.96
  6. Step 6: Final answer
    x = 47,899.18

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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.