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Finding the Fourth Proportional to 48,821.80, 73,235.10 and 25,493.80

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Solution

The fourth proportional to 48,821.80, 73,235.10 and 25,493.80 is: 38,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,821.80 : 73,235.10 = 25,493.80 : x
  2. Step 2: Convert to fraction form
    48,821.80/73,235.10 = 25,493.80/x
  3. Step 3: Cross multiply
    48,821.80x = 73,235.10 × 25,493.80
  4. Step 4: Simplify right side
    48,821.80x = 1,867,040,992.38
  5. Step 5: Solve for x
    x = 1,867,040,992.38/48,821.80
  6. Step 6: Final answer
    x = 38,241.95

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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.