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Finding the Fourth Proportional to 66,206.54, 91,361.22 and 35,991.62

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Solution

The fourth proportional to 66,206.54, 91,361.22 and 35,991.62 is: 49,666.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,206.54 : 91,361.22 = 35,991.62 : x
  2. Step 2: Convert to fraction form
    66,206.54/91,361.22 = 35,991.62/x
  3. Step 3: Cross multiply
    66,206.54x = 91,361.22 × 35,991.62
  4. Step 4: Simplify right side
    66,206.54x = 3,288,237,856.17
  5. Step 5: Solve for x
    x = 3,288,237,856.17/66,206.54
  6. Step 6: Final answer
    x = 49,666.36

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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.