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Finding the Fourth Proportional to 51,676.26, 71,264.25 and 33,786.60

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Solution

The fourth proportional to 51,676.26, 71,264.25 and 33,786.60 is: 46,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,676.26 : 71,264.25 = 33,786.60 : x
  2. Step 2: Convert to fraction form
    51,676.26/71,264.25 = 33,786.60/x
  3. Step 3: Cross multiply
    51,676.26x = 71,264.25 × 33,786.60
  4. Step 4: Simplify right side
    51,676.26x = 2,407,776,709.05
  5. Step 5: Solve for x
    x = 2,407,776,709.05/51,676.26
  6. Step 6: Final answer
    x = 46,593.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.