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Finding the Fourth Proportional to 66,299.50, 91,493.31 and 36,491.50

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Solution

The fourth proportional to 66,299.50, 91,493.31 and 36,491.50 is: 50,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,299.50 : 91,493.31 = 36,491.50 : x
  2. Step 2: Convert to fraction form
    66,299.50/91,493.31 = 36,491.50/x
  3. Step 3: Cross multiply
    66,299.50x = 91,493.31 × 36,491.50
  4. Step 4: Simplify right side
    66,299.50x = 3,338,728,121.87
  5. Step 5: Solve for x
    x = 3,338,728,121.87/66,299.50
  6. Step 6: Final answer
    x = 50,358.27

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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.