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Finding the Fourth Proportional to 53,500, 80,250 and 16,564

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Solution

The fourth proportional to 53,500, 80,250 and 16,564 is: 24,846

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,500 : 80,250 = 16,564 : x
  2. Step 2: Convert to fraction form
    53,500/80,250 = 16,564/x
  3. Step 3: Cross multiply
    53,500x = 80,250 × 16,564
  4. Step 4: Simplify right side
    53,500x = 1,329,261,000
  5. Step 5: Solve for x
    x = 1,329,261,000/53,500
  6. Step 6: Final answer
    x = 24,846

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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.