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Finding the Fourth Proportional to 33,953, 46,858.74 and 19,049

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Solution

The fourth proportional to 33,953, 46,858.74 and 19,049 is: 26,289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,953 : 46,858.74 = 19,049 : x
  2. Step 2: Convert to fraction form
    33,953/46,858.74 = 19,049/x
  3. Step 3: Cross multiply
    33,953x = 46,858.74 × 19,049
  4. Step 4: Simplify right side
    33,953x = 892,612,138.26
  5. Step 5: Solve for x
    x = 892,612,138.26/33,953
  6. Step 6: Final answer
    x = 26,289.64

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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.