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Finding the Fourth Proportional to 33,086.25, 49,617.14 and 10,893.15

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Solution

The fourth proportional to 33,086.25, 49,617.14 and 10,893.15 is: 16,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,086.25 : 49,617.14 = 10,893.15 : x
  2. Step 2: Convert to fraction form
    33,086.25/49,617.14 = 10,893.15/x
  3. Step 3: Cross multiply
    33,086.25x = 49,617.14 × 10,893.15
  4. Step 4: Simplify right side
    33,086.25x = 540,486,894.13
  5. Step 5: Solve for x
    x = 540,486,894.13/33,086.25
  6. Step 6: Final answer
    x = 16,335.70

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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.