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Finding the Fourth Proportional to 57,797, 86,695.50 and 16,244

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Solution

The fourth proportional to 57,797, 86,695.50 and 16,244 is: 24,366

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,797 : 86,695.50 = 16,244 : x
  2. Step 2: Convert to fraction form
    57,797/86,695.50 = 16,244/x
  3. Step 3: Cross multiply
    57,797x = 86,695.50 × 16,244
  4. Step 4: Simplify right side
    57,797x = 1,408,281,702
  5. Step 5: Solve for x
    x = 1,408,281,702/57,797
  6. Step 6: Final answer
    x = 24,366

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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.