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Finding the Fourth Proportional to 61,266.58, 91,912.17 and 27,977.70

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Solution

The fourth proportional to 61,266.58, 91,912.17 and 27,977.70 is: 41,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,266.58 : 91,912.17 = 27,977.70 : x
  2. Step 2: Convert to fraction form
    61,266.58/91,912.17 = 27,977.70/x
  3. Step 3: Cross multiply
    61,266.58x = 91,912.17 × 27,977.70
  4. Step 4: Simplify right side
    61,266.58x = 2,571,491,410.82
  5. Step 5: Solve for x
    x = 2,571,491,410.82/61,266.58
  6. Step 6: Final answer
    x = 41,972.17

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Why These Related Problems?

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