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Finding the Fourth Proportional to 49,297.80, 73,896.30 and 24,299.40

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Solution

The fourth proportional to 49,297.80, 73,896.30 and 24,299.40 is: 36,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,297.80 : 73,896.30 = 24,299.40 : x
  2. Step 2: Convert to fraction form
    49,297.80/73,896.30 = 24,299.40/x
  3. Step 3: Cross multiply
    49,297.80x = 73,896.30 × 24,299.40
  4. Step 4: Simplify right side
    49,297.80x = 1,795,635,752.22
  5. Step 5: Solve for x
    x = 1,795,635,752.22/49,297.80
  6. Step 6: Final answer
    x = 36,424.26

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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.