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Finding the Fourth Proportional to 66,083.42, 91,192.67 and 35,868.09

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Solution

The fourth proportional to 66,083.42, 91,192.67 and 35,868.09 is: 49,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,083.42 : 91,192.67 = 35,868.09 : x
  2. Step 2: Convert to fraction form
    66,083.42/91,192.67 = 35,868.09/x
  3. Step 3: Cross multiply
    66,083.42x = 91,192.67 × 35,868.09
  4. Step 4: Simplify right side
    66,083.42x = 3,270,906,508.09
  5. Step 5: Solve for x
    x = 3,270,906,508.09/66,083.42
  6. Step 6: Final answer
    x = 49,496.63

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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.