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Finding the Fourth Proportional to 50,436, 75,654 and 13,500

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Solution

The fourth proportional to 50,436, 75,654 and 13,500 is: 20,250

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,436 : 75,654 = 13,500 : x
  2. Step 2: Convert to fraction form
    50,436/75,654 = 13,500/x
  3. Step 3: Cross multiply
    50,436x = 75,654 × 13,500
  4. Step 4: Simplify right side
    50,436x = 1,021,329,000
  5. Step 5: Solve for x
    x = 1,021,329,000/50,436
  6. Step 6: Final answer
    x = 20,250

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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.