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Finding the Fourth Proportional to 47,297.80, 70,949.94 and 12,241

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Solution

The fourth proportional to 47,297.80, 70,949.94 and 12,241 is: 18,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,297.80 : 70,949.94 = 12,241 : x
  2. Step 2: Convert to fraction form
    47,297.80/70,949.94 = 12,241/x
  3. Step 3: Cross multiply
    47,297.80x = 70,949.94 × 12,241
  4. Step 4: Simplify right side
    47,297.80x = 868,498,215.54
  5. Step 5: Solve for x
    x = 868,498,215.54/47,297.80
  6. Step 6: Final answer
    x = 18,362.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.