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Finding the Fourth Proportional to 66,984, 100,476 and 27,562.56

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Solution

The fourth proportional to 66,984, 100,476 and 27,562.56 is: 41,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,984 : 100,476 = 27,562.56 : x
  2. Step 2: Convert to fraction form
    66,984/100,476 = 27,562.56/x
  3. Step 3: Cross multiply
    66,984x = 100,476 × 27,562.56
  4. Step 4: Simplify right side
    66,984x = 2,769,375,778.56
  5. Step 5: Solve for x
    x = 2,769,375,778.56/66,984
  6. Step 6: Final answer
    x = 41,343.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.