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Finding the Fourth Proportional to 66,186, 91,338.12 and 36,378

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Solution

The fourth proportional to 66,186, 91,338.12 and 36,378 is: 50,202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,186 : 91,338.12 = 36,378 : x
  2. Step 2: Convert to fraction form
    66,186/91,338.12 = 36,378/x
  3. Step 3: Cross multiply
    66,186x = 91,338.12 × 36,378
  4. Step 4: Simplify right side
    66,186x = 3,322,698,129.36
  5. Step 5: Solve for x
    x = 3,322,698,129.36/66,186
  6. Step 6: Final answer
    x = 50,202.43

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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.