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Finding the Fourth Proportional to 34,782, 52,173 and 16,314

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Solution

The fourth proportional to 34,782, 52,173 and 16,314 is: 24,471

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,782 : 52,173 = 16,314 : x
  2. Step 2: Convert to fraction form
    34,782/52,173 = 16,314/x
  3. Step 3: Cross multiply
    34,782x = 52,173 × 16,314
  4. Step 4: Simplify right side
    34,782x = 851,150,322
  5. Step 5: Solve for x
    x = 851,150,322/34,782
  6. Step 6: Final answer
    x = 24,471

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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.