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Finding the Fourth Proportional to 33,999, 51,001.38 and 9,375

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Solution

The fourth proportional to 33,999, 51,001.38 and 9,375 is: 14,063.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,999 : 51,001.38 = 9,375 : x
  2. Step 2: Convert to fraction form
    33,999/51,001.38 = 9,375/x
  3. Step 3: Cross multiply
    33,999x = 51,001.38 × 9,375
  4. Step 4: Simplify right side
    33,999x = 478,137,937.50
  5. Step 5: Solve for x
    x = 478,137,937.50/33,999
  6. Step 6: Final answer
    x = 14,063.29

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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.