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Finding the Fourth Proportional to 49,839.40, 68,775.78 and 30,976.12

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Solution

The fourth proportional to 49,839.40, 68,775.78 and 30,976.12 is: 42,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,839.40 : 68,775.78 = 30,976.12 : x
  2. Step 2: Convert to fraction form
    49,839.40/68,775.78 = 30,976.12/x
  3. Step 3: Cross multiply
    49,839.40x = 68,775.78 × 30,976.12
  4. Step 4: Simplify right side
    49,839.40x = 2,130,406,814.37
  5. Step 5: Solve for x
    x = 2,130,406,814.37/49,839.40
  6. Step 6: Final answer
    x = 42,745.43

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