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Finding the Fourth Proportional to 33,984.28, 50,918.90 and 20,809.14

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Solution

The fourth proportional to 33,984.28, 50,918.90 and 20,809.14 is: 31,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,984.28 : 50,918.90 = 20,809.14 : x
  2. Step 2: Convert to fraction form
    33,984.28/50,918.90 = 20,809.14/x
  3. Step 3: Cross multiply
    33,984.28x = 50,918.90 × 20,809.14
  4. Step 4: Simplify right side
    33,984.28x = 1,059,578,518.75
  5. Step 5: Solve for x
    x = 1,059,578,518.75/33,984.28
  6. Step 6: Final answer
    x = 31,178.49

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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.