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Finding the Fourth Proportional to 52,714, 79,071 and 15,778

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Solution

The fourth proportional to 52,714, 79,071 and 15,778 is: 23,667

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,714 : 79,071 = 15,778 : x
  2. Step 2: Convert to fraction form
    52,714/79,071 = 15,778/x
  3. Step 3: Cross multiply
    52,714x = 79,071 × 15,778
  4. Step 4: Simplify right side
    52,714x = 1,247,582,238
  5. Step 5: Solve for x
    x = 1,247,582,238/52,714
  6. Step 6: Final answer
    x = 23,667

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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.