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Finding the Fourth Proportional to 66,003, 91,084.14 and 36,195

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Solution

The fourth proportional to 66,003, 91,084.14 and 36,195 is: 49,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,003 : 91,084.14 = 36,195 : x
  2. Step 2: Convert to fraction form
    66,003/91,084.14 = 36,195/x
  3. Step 3: Cross multiply
    66,003x = 91,084.14 × 36,195
  4. Step 4: Simplify right side
    66,003x = 3,296,790,447.30
  5. Step 5: Solve for x
    x = 3,296,790,447.30/66,003
  6. Step 6: Final answer
    x = 49,949.10

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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.