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Finding the Fourth Proportional to 33,896.78, 46,719.19 and 22,546.00

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Solution

The fourth proportional to 33,896.78, 46,719.19 and 22,546.00 is: 31,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,896.78 : 46,719.19 = 22,546.00 : x
  2. Step 2: Convert to fraction form
    33,896.78/46,719.19 = 22,546.00/x
  3. Step 3: Cross multiply
    33,896.78x = 46,719.19 × 22,546.00
  4. Step 4: Simplify right side
    33,896.78x = 1,053,330,618.12
  5. Step 5: Solve for x
    x = 1,053,330,618.12/33,896.78
  6. Step 6: Final answer
    x = 31,074.65

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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.