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Finding the Fourth Proportional to 33,914.88, 46,800 and 19,008

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Solution

The fourth proportional to 33,914.88, 46,800 and 19,008 is: 26,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,914.88 : 46,800 = 19,008 : x
  2. Step 2: Convert to fraction form
    33,914.88/46,800 = 19,008/x
  3. Step 3: Cross multiply
    33,914.88x = 46,800 × 19,008
  4. Step 4: Simplify right side
    33,914.88x = 889,574,400
  5. Step 5: Solve for x
    x = 889,574,400/33,914.88
  6. Step 6: Final answer
    x = 26,229.62

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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.