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Finding the Fourth Proportional to 35,891.78, 49,530.15 and 19,976.22

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Solution

The fourth proportional to 35,891.78, 49,530.15 and 19,976.22 is: 27,566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,891.78 : 49,530.15 = 19,976.22 : x
  2. Step 2: Convert to fraction form
    35,891.78/49,530.15 = 19,976.22/x
  3. Step 3: Cross multiply
    35,891.78x = 49,530.15 × 19,976.22
  4. Step 4: Simplify right side
    35,891.78x = 989,425,173.03
  5. Step 5: Solve for x
    x = 989,425,173.03/35,891.78
  6. Step 6: Final answer
    x = 27,566.91

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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.