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Finding the Fourth Proportional to 33,510, 50,184.54 and 27,998.76

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Solution

The fourth proportional to 33,510, 50,184.54 and 27,998.76 is: 41,930.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,510 : 50,184.54 = 27,998.76 : x
  2. Step 2: Convert to fraction form
    33,510/50,184.54 = 27,998.76/x
  3. Step 3: Cross multiply
    33,510x = 50,184.54 × 27,998.76
  4. Step 4: Simplify right side
    33,510x = 1,405,104,891.17
  5. Step 5: Solve for x
    x = 1,405,104,891.17/33,510
  6. Step 6: Final answer
    x = 41,930.91

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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.