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Finding the Fourth Proportional to 33,710.50, 50,573.85 and 12,934

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Solution

The fourth proportional to 33,710.50, 50,573.85 and 12,934 is: 19,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,710.50 : 50,573.85 = 12,934 : x
  2. Step 2: Convert to fraction form
    33,710.50/50,573.85 = 12,934/x
  3. Step 3: Cross multiply
    33,710.50x = 50,573.85 × 12,934
  4. Step 4: Simplify right side
    33,710.50x = 654,122,175.90
  5. Step 5: Solve for x
    x = 654,122,175.90/33,710.50
  6. Step 6: Final answer
    x = 19,404.11

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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.