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Finding the Fourth Proportional to 34,048, 46,986.26 and 19,144

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Solution

The fourth proportional to 34,048, 46,986.26 and 19,144 is: 26,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,048 : 46,986.26 = 19,144 : x
  2. Step 2: Convert to fraction form
    34,048/46,986.26 = 19,144/x
  3. Step 3: Cross multiply
    34,048x = 46,986.26 × 19,144
  4. Step 4: Simplify right side
    34,048x = 899,504,961.44
  5. Step 5: Solve for x
    x = 899,504,961.44/34,048
  6. Step 6: Final answer
    x = 26,418.73

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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.