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Finding the Fourth Proportional to 33,072.33, 49,607.78 and 8,112.50

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Solution

The fourth proportional to 33,072.33, 49,607.78 and 8,112.50 is: 12,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,072.33 : 49,607.78 = 8,112.50 : x
  2. Step 2: Convert to fraction form
    33,072.33/49,607.78 = 8,112.50/x
  3. Step 3: Cross multiply
    33,072.33x = 49,607.78 × 8,112.50
  4. Step 4: Simplify right side
    33,072.33x = 402,443,120.90
  5. Step 5: Solve for x
    x = 402,443,120.90/33,072.33
  6. Step 6: Final answer
    x = 12,168.57

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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.