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Finding the Fourth Proportional to 33,120.47, 49,693.97 and 12,061.97

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Solution

The fourth proportional to 33,120.47, 49,693.97 and 12,061.97 is: 18,097.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,120.47 : 49,693.97 = 12,061.97 : x
  2. Step 2: Convert to fraction form
    33,120.47/49,693.97 = 12,061.97/x
  3. Step 3: Cross multiply
    33,120.47x = 49,693.97 × 12,061.97
  4. Step 4: Simplify right side
    33,120.47x = 599,407,299.56
  5. Step 5: Solve for x
    x = 599,407,299.56/33,120.47
  6. Step 6: Final answer
    x = 18,097.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.