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Finding the Fourth Proportional to 35,647.89, 49,193.49 and 19,731.99

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Solution

The fourth proportional to 35,647.89, 49,193.49 and 19,731.99 is: 27,229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,647.89 : 49,193.49 = 19,731.99 : x
  2. Step 2: Convert to fraction form
    35,647.89/49,193.49 = 19,731.99/x
  3. Step 3: Cross multiply
    35,647.89x = 49,193.49 × 19,731.99
  4. Step 4: Simplify right side
    35,647.89x = 970,685,452.75
  5. Step 5: Solve for x
    x = 970,685,452.75/35,647.89
  6. Step 6: Final answer
    x = 27,229.82

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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.