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Finding the Fourth Proportional to 33,338, 46,006.98 and 18,434

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Solution

The fourth proportional to 33,338, 46,006.98 and 18,434 is: 25,439.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,338 : 46,006.98 = 18,434 : x
  2. Step 2: Convert to fraction form
    33,338/46,006.98 = 18,434/x
  3. Step 3: Cross multiply
    33,338x = 46,006.98 × 18,434
  4. Step 4: Simplify right side
    33,338x = 848,092,669.32
  5. Step 5: Solve for x
    x = 848,092,669.32/33,338
  6. Step 6: Final answer
    x = 25,439.22

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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.