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Finding the Fourth Proportional to 33,961.56, 50,929.74 and 11,769

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Solution

The fourth proportional to 33,961.56, 50,929.74 and 11,769 is: 17,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,961.56 : 50,929.74 = 11,769 : x
  2. Step 2: Convert to fraction form
    33,961.56/50,929.74 = 11,769/x
  3. Step 3: Cross multiply
    33,961.56x = 50,929.74 × 11,769
  4. Step 4: Simplify right side
    33,961.56x = 599,392,110.06
  5. Step 5: Solve for x
    x = 599,392,110.06/33,961.56
  6. Step 6: Final answer
    x = 17,649.13

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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.