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Finding the Fourth Proportional to 68,843.24, 103,244.18 and 24,464.16

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Solution

The fourth proportional to 68,843.24, 103,244.18 and 24,464.16 is: 36,688.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,843.24 : 103,244.18 = 24,464.16 : x
  2. Step 2: Convert to fraction form
    68,843.24/103,244.18 = 24,464.16/x
  3. Step 3: Cross multiply
    68,843.24x = 103,244.18 × 24,464.16
  4. Step 4: Simplify right side
    68,843.24x = 2,525,782,138.59
  5. Step 5: Solve for x
    x = 2,525,782,138.59/68,843.24
  6. Step 6: Final answer
    x = 36,688.89

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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.