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Finding the Fourth Proportional to 54,850.32, 75,692.88 and 30,976.92

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Solution

The fourth proportional to 54,850.32, 75,692.88 and 30,976.92 is: 42,747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,850.32 : 75,692.88 = 30,976.92 : x
  2. Step 2: Convert to fraction form
    54,850.32/75,692.88 = 30,976.92/x
  3. Step 3: Cross multiply
    54,850.32x = 75,692.88 × 30,976.92
  4. Step 4: Simplify right side
    54,850.32x = 2,344,732,288.33
  5. Step 5: Solve for x
    x = 2,344,732,288.33/54,850.32
  6. Step 6: Final answer
    x = 42,747.83

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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.