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Finding the Fourth Proportional to 66,185.68, 91,336.95 and 35,971

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Solution

The fourth proportional to 66,185.68, 91,336.95 and 35,971 is: 49,640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,185.68 : 91,336.95 = 35,971 : x
  2. Step 2: Convert to fraction form
    66,185.68/91,336.95 = 35,971/x
  3. Step 3: Cross multiply
    66,185.68x = 91,336.95 × 35,971
  4. Step 4: Simplify right side
    66,185.68x = 3,285,481,428.45
  5. Step 5: Solve for x
    x = 3,285,481,428.45/66,185.68
  6. Step 6: Final answer
    x = 49,640.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.