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Finding the Fourth Proportional to 33,291.78, 45,961.11 and 22,696.98

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Solution

The fourth proportional to 33,291.78, 45,961.11 and 22,696.98 is: 31,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,291.78 : 45,961.11 = 22,696.98 : x
  2. Step 2: Convert to fraction form
    33,291.78/45,961.11 = 22,696.98/x
  3. Step 3: Cross multiply
    33,291.78x = 45,961.11 × 22,696.98
  4. Step 4: Simplify right side
    33,291.78x = 1,043,178,394.45
  5. Step 5: Solve for x
    x = 1,043,178,394.45/33,291.78
  6. Step 6: Final answer
    x = 31,334.41

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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.