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Finding the Fourth Proportional to 64,634.78, 89,194.82 and 35,954.30

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Solution

The fourth proportional to 64,634.78, 89,194.82 and 35,954.30 is: 49,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,634.78 : 89,194.82 = 35,954.30 : x
  2. Step 2: Convert to fraction form
    64,634.78/89,194.82 = 35,954.30/x
  3. Step 3: Cross multiply
    64,634.78x = 89,194.82 × 35,954.30
  4. Step 4: Simplify right side
    64,634.78x = 3,206,936,690.98
  5. Step 5: Solve for x
    x = 3,206,936,690.98/64,634.78
  6. Step 6: Final answer
    x = 49,616.27

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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.