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Finding the Fourth Proportional to 33,553.92, 46,302.80 and 18,446

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Solution

The fourth proportional to 33,553.92, 46,302.80 and 18,446 is: 25,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,553.92 : 46,302.80 = 18,446 : x
  2. Step 2: Convert to fraction form
    33,553.92/46,302.80 = 18,446/x
  3. Step 3: Cross multiply
    33,553.92x = 46,302.80 × 18,446
  4. Step 4: Simplify right side
    33,553.92x = 854,101,448.80
  5. Step 5: Solve for x
    x = 854,101,448.80/33,553.92
  6. Step 6: Final answer
    x = 25,454.60

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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.