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Finding the Fourth Proportional to 54,807.60, 82,198.44 and 23,625.84

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Solution

The fourth proportional to 54,807.60, 82,198.44 and 23,625.84 is: 35,433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,807.60 : 82,198.44 = 23,625.84 : x
  2. Step 2: Convert to fraction form
    54,807.60/82,198.44 = 23,625.84/x
  3. Step 3: Cross multiply
    54,807.60x = 82,198.44 × 23,625.84
  4. Step 4: Simplify right side
    54,807.60x = 1,942,007,191.69
  5. Step 5: Solve for x
    x = 1,942,007,191.69/54,807.60
  6. Step 6: Final answer
    x = 35,433.17

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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.