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Finding the Fourth Proportional to 75,796.80, 113,824.80 and 49,617.60

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Solution

The fourth proportional to 75,796.80, 113,824.80 and 49,617.60 is: 74,511.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,796.80 : 113,824.80 = 49,617.60 : x
  2. Step 2: Convert to fraction form
    75,796.80/113,824.80 = 49,617.60/x
  3. Step 3: Cross multiply
    75,796.80x = 113,824.80 × 49,617.60
  4. Step 4: Simplify right side
    75,796.80x = 5,647,713,396.48
  5. Step 5: Solve for x
    x = 5,647,713,396.48/75,796.80
  6. Step 6: Final answer
    x = 74,511.24

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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.