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Finding the Fourth Proportional to 35,744.69, 49,324.44 and 19,829.10

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Solution

The fourth proportional to 35,744.69, 49,324.44 and 19,829.10 is: 27,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,744.69 : 49,324.44 = 19,829.10 : x
  2. Step 2: Convert to fraction form
    35,744.69/49,324.44 = 19,829.10/x
  3. Step 3: Cross multiply
    35,744.69x = 49,324.44 × 19,829.10
  4. Step 4: Simplify right side
    35,744.69x = 978,059,512.53
  5. Step 5: Solve for x
    x = 978,059,512.53/35,744.69
  6. Step 6: Final answer
    x = 27,362.37

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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.