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Finding the Fourth Proportional to 33,768.64, 46,600.74 and 19,622.38

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Solution

The fourth proportional to 33,768.64, 46,600.74 and 19,622.38 is: 27,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,768.64 : 46,600.74 = 19,622.38 : x
  2. Step 2: Convert to fraction form
    33,768.64/46,600.74 = 19,622.38/x
  3. Step 3: Cross multiply
    33,768.64x = 46,600.74 × 19,622.38
  4. Step 4: Simplify right side
    33,768.64x = 914,417,428.56
  5. Step 5: Solve for x
    x = 914,417,428.56/33,768.64
  6. Step 6: Final answer
    x = 27,078.89

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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.