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Finding the Fourth Proportional to 66,107, 91,227.66 and 36,299

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Solution

The fourth proportional to 66,107, 91,227.66 and 36,299 is: 50,092.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,107 : 91,227.66 = 36,299 : x
  2. Step 2: Convert to fraction form
    66,107/91,227.66 = 36,299/x
  3. Step 3: Cross multiply
    66,107x = 91,227.66 × 36,299
  4. Step 4: Simplify right side
    66,107x = 3,311,472,830.34
  5. Step 5: Solve for x
    x = 3,311,472,830.34/66,107
  6. Step 6: Final answer
    x = 50,092.62

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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.