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Finding the Fourth Proportional to 33,993, 50,827.23 and 31,015.31

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Solution

The fourth proportional to 33,993, 50,827.23 and 31,015.31 is: 46,374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,993 : 50,827.23 = 31,015.31 : x
  2. Step 2: Convert to fraction form
    33,993/50,827.23 = 31,015.31/x
  3. Step 3: Cross multiply
    33,993x = 50,827.23 × 31,015.31
  4. Step 4: Simplify right side
    33,993x = 1,576,422,040.76
  5. Step 5: Solve for x
    x = 1,576,422,040.76/33,993
  6. Step 6: Final answer
    x = 46,374.90

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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.