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Finding the Fourth Proportional to 68,797, 103,200.36 and 27,244

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Solution

The fourth proportional to 68,797, 103,200.36 and 27,244 is: 40,867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,797 : 103,200.36 = 27,244 : x
  2. Step 2: Convert to fraction form
    68,797/103,200.36 = 27,244/x
  3. Step 3: Cross multiply
    68,797x = 103,200.36 × 27,244
  4. Step 4: Simplify right side
    68,797x = 2,811,590,607.84
  5. Step 5: Solve for x
    x = 2,811,590,607.84/68,797
  6. Step 6: Final answer
    x = 40,867.92

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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.