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Finding the Fourth Proportional to 33,400, 46,093.44 and 18,496

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Solution

The fourth proportional to 33,400, 46,093.44 and 18,496 is: 25,525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,400 : 46,093.44 = 18,496 : x
  2. Step 2: Convert to fraction form
    33,400/46,093.44 = 18,496/x
  3. Step 3: Cross multiply
    33,400x = 46,093.44 × 18,496
  4. Step 4: Simplify right side
    33,400x = 852,544,266.24
  5. Step 5: Solve for x
    x = 852,544,266.24/33,400
  6. Step 6: Final answer
    x = 25,525.28

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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.