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Finding the Fourth Proportional to 33,783.38, 46,625.12 and 19,636.22

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Solution

The fourth proportional to 33,783.38, 46,625.12 and 19,636.22 is: 27,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,783.38 : 46,625.12 = 19,636.22 : x
  2. Step 2: Convert to fraction form
    33,783.38/46,625.12 = 19,636.22/x
  3. Step 3: Cross multiply
    33,783.38x = 46,625.12 × 19,636.22
  4. Step 4: Simplify right side
    33,783.38x = 915,541,205.86
  5. Step 5: Solve for x
    x = 915,541,205.86/33,783.38
  6. Step 6: Final answer
    x = 27,100.34

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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.