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Finding the Fourth Proportional to 33,850, 46,713 and 18,946

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Solution

The fourth proportional to 33,850, 46,713 and 18,946 is: 26,145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,850 : 46,713 = 18,946 : x
  2. Step 2: Convert to fraction form
    33,850/46,713 = 18,946/x
  3. Step 3: Cross multiply
    33,850x = 46,713 × 18,946
  4. Step 4: Simplify right side
    33,850x = 885,024,498
  5. Step 5: Solve for x
    x = 885,024,498/33,850
  6. Step 6: Final answer
    x = 26,145.48

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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.