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Finding the Fourth Proportional to 35,741.70, 49,324.41 and 19,826.82

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Solution

The fourth proportional to 35,741.70, 49,324.41 and 19,826.82 is: 27,361.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,741.70 : 49,324.41 = 19,826.82 : x
  2. Step 2: Convert to fraction form
    35,741.70/49,324.41 = 19,826.82/x
  3. Step 3: Cross multiply
    35,741.70x = 49,324.41 × 19,826.82
  4. Step 4: Simplify right side
    35,741.70x = 977,946,198.68
  5. Step 5: Solve for x
    x = 977,946,198.68/35,741.70
  6. Step 6: Final answer
    x = 27,361.49

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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.