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Finding the Fourth Proportional to 33,162.41, 49,738.71 and 12,097.52

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Solution

The fourth proportional to 33,162.41, 49,738.71 and 12,097.52 is: 18,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,162.41 : 49,738.71 = 12,097.52 : x
  2. Step 2: Convert to fraction form
    33,162.41/49,738.71 = 12,097.52/x
  3. Step 3: Cross multiply
    33,162.41x = 49,738.71 × 12,097.52
  4. Step 4: Simplify right side
    33,162.41x = 601,715,039.00
  5. Step 5: Solve for x
    x = 601,715,039.00/33,162.41
  6. Step 6: Final answer
    x = 18,144.49

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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.