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Finding the Fourth Proportional to 57,198.46, 78,907.17 and 35,989.42

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Solution

The fourth proportional to 57,198.46, 78,907.17 and 35,989.42 is: 49,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,198.46 : 78,907.17 = 35,989.42 : x
  2. Step 2: Convert to fraction form
    57,198.46/78,907.17 = 35,989.42/x
  3. Step 3: Cross multiply
    57,198.46x = 78,907.17 × 35,989.42
  4. Step 4: Simplify right side
    57,198.46x = 2,839,823,282.14
  5. Step 5: Solve for x
    x = 2,839,823,282.14/57,198.46
  6. Step 6: Final answer
    x = 49,648.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.