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Finding the Fourth Proportional to 33,097.38, 49,618.19 and 14,363.31

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Solution

The fourth proportional to 33,097.38, 49,618.19 and 14,363.31 is: 21,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,097.38 : 49,618.19 = 14,363.31 : x
  2. Step 2: Convert to fraction form
    33,097.38/49,618.19 = 14,363.31/x
  3. Step 3: Cross multiply
    33,097.38x = 49,618.19 × 14,363.31
  4. Step 4: Simplify right side
    33,097.38x = 712,681,372.79
  5. Step 5: Solve for x
    x = 712,681,372.79/33,097.38
  6. Step 6: Final answer
    x = 21,532.86

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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.