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Finding the Fourth Proportional to 35,611.72, 49,139.86 and 19,694

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Solution

The fourth proportional to 35,611.72, 49,139.86 and 19,694 is: 27,175.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,611.72 : 49,139.86 = 19,694 : x
  2. Step 2: Convert to fraction form
    35,611.72/49,139.86 = 19,694/x
  3. Step 3: Cross multiply
    35,611.72x = 49,139.86 × 19,694
  4. Step 4: Simplify right side
    35,611.72x = 967,760,402.84
  5. Step 5: Solve for x
    x = 967,760,402.84/35,611.72
  6. Step 6: Final answer
    x = 27,175.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.