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Finding the Fourth Proportional to 33,603, 50,404.50 and 11,715

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Solution

The fourth proportional to 33,603, 50,404.50 and 11,715 is: 17,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,603 : 50,404.50 = 11,715 : x
  2. Step 2: Convert to fraction form
    33,603/50,404.50 = 11,715/x
  3. Step 3: Cross multiply
    33,603x = 50,404.50 × 11,715
  4. Step 4: Simplify right side
    33,603x = 590,488,717.50
  5. Step 5: Solve for x
    x = 590,488,717.50/33,603
  6. Step 6: Final answer
    x = 17,572.50

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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.