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Finding the Fourth Proportional to 34,505, 47,616.90 and 19,601

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Solution

The fourth proportional to 34,505, 47,616.90 and 19,601 is: 27,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,505 : 47,616.90 = 19,601 : x
  2. Step 2: Convert to fraction form
    34,505/47,616.90 = 19,601/x
  3. Step 3: Cross multiply
    34,505x = 47,616.90 × 19,601
  4. Step 4: Simplify right side
    34,505x = 933,338,856.90
  5. Step 5: Solve for x
    x = 933,338,856.90/34,505
  6. Step 6: Final answer
    x = 27,049.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.