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Finding the Fourth Proportional to 33,156.25, 49,734.83 and 18,394

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Solution

The fourth proportional to 33,156.25, 49,734.83 and 18,394 is: 27,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,156.25 : 49,734.83 = 18,394 : x
  2. Step 2: Convert to fraction form
    33,156.25/49,734.83 = 18,394/x
  3. Step 3: Cross multiply
    33,156.25x = 49,734.83 × 18,394
  4. Step 4: Simplify right side
    33,156.25x = 914,822,463.02
  5. Step 5: Solve for x
    x = 914,822,463.02/33,156.25
  6. Step 6: Final answer
    x = 27,591.25

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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.