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Finding the Fourth Proportional to 62,097.82, 85,694.56 and 33,803.44

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Solution

The fourth proportional to 62,097.82, 85,694.56 and 33,803.44 is: 46,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,097.82 : 85,694.56 = 33,803.44 : x
  2. Step 2: Convert to fraction form
    62,097.82/85,694.56 = 33,803.44/x
  3. Step 3: Cross multiply
    62,097.82x = 85,694.56 × 33,803.44
  4. Step 4: Simplify right side
    62,097.82x = 2,896,770,917.29
  5. Step 5: Solve for x
    x = 2,896,770,917.29/62,097.82
  6. Step 6: Final answer
    x = 46,648.51

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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.