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Finding the Fourth Proportional to 35,638.74, 49,183 and 19,723.19

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Solution

The fourth proportional to 35,638.74, 49,183 and 19,723.19 is: 27,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,638.74 : 49,183 = 19,723.19 : x
  2. Step 2: Convert to fraction form
    35,638.74/49,183 = 19,723.19/x
  3. Step 3: Cross multiply
    35,638.74x = 49,183 × 19,723.19
  4. Step 4: Simplify right side
    35,638.74x = 970,045,653.77
  5. Step 5: Solve for x
    x = 970,045,653.77/35,638.74
  6. Step 6: Final answer
    x = 27,218.85

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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.