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Finding the Fourth Proportional to 35,759.07, 49,345.56 and 19,843.11

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Solution

The fourth proportional to 35,759.07, 49,345.56 and 19,843.11 is: 27,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,759.07 : 49,345.56 = 19,843.11 : x
  2. Step 2: Convert to fraction form
    35,759.07/49,345.56 = 19,843.11/x
  3. Step 3: Cross multiply
    35,759.07x = 49,345.56 × 19,843.11
  4. Step 4: Simplify right side
    35,759.07x = 979,169,375.09
  5. Step 5: Solve for x
    x = 979,169,375.09/35,759.07
  6. Step 6: Final answer
    x = 27,382.41

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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.