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Finding the Fourth Proportional to 69,224.94, 103,847.44 and 21,824

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Solution

The fourth proportional to 69,224.94, 103,847.44 and 21,824 is: 32,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,224.94 : 103,847.44 = 21,824 : x
  2. Step 2: Convert to fraction form
    69,224.94/103,847.44 = 21,824/x
  3. Step 3: Cross multiply
    69,224.94x = 103,847.44 × 21,824
  4. Step 4: Simplify right side
    69,224.94x = 2,266,366,530.56
  5. Step 5: Solve for x
    x = 2,266,366,530.56/69,224.94
  6. Step 6: Final answer
    x = 32,739.16

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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.