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Finding the Fourth Proportional to 35,638.38, 49,181.99 and 19,724.31

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Solution

The fourth proportional to 35,638.38, 49,181.99 and 19,724.31 is: 27,220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,638.38 : 49,181.99 = 19,724.31 : x
  2. Step 2: Convert to fraction form
    35,638.38/49,181.99 = 19,724.31/x
  3. Step 3: Cross multiply
    35,638.38x = 49,181.99 × 19,724.31
  4. Step 4: Simplify right side
    35,638.38x = 970,080,718.56
  5. Step 5: Solve for x
    x = 970,080,718.56/35,638.38
  6. Step 6: Final answer
    x = 27,220.11

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Why These Related Problems?

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