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Finding the Fourth Proportional to 66,384, 91,609.92 and 36,576

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Solution

The fourth proportional to 66,384, 91,609.92 and 36,576 is: 50,474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,384 : 91,609.92 = 36,576 : x
  2. Step 2: Convert to fraction form
    66,384/91,609.92 = 36,576/x
  3. Step 3: Cross multiply
    66,384x = 91,609.92 × 36,576
  4. Step 4: Simplify right side
    66,384x = 3,350,724,433.92
  5. Step 5: Solve for x
    x = 3,350,724,433.92/66,384
  6. Step 6: Final answer
    x = 50,474.88

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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.