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Finding the Fourth Proportional to 33,474, 46,194.12 and 18,570.32

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Solution

The fourth proportional to 33,474, 46,194.12 and 18,570.32 is: 25,627.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,474 : 46,194.12 = 18,570.32 : x
  2. Step 2: Convert to fraction form
    33,474/46,194.12 = 18,570.32/x
  3. Step 3: Cross multiply
    33,474x = 46,194.12 × 18,570.32
  4. Step 4: Simplify right side
    33,474x = 857,839,590.52
  5. Step 5: Solve for x
    x = 857,839,590.52/33,474
  6. Step 6: Final answer
    x = 25,627.04

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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.