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Finding the Fourth Proportional to 35,418.96, 48,872.97 and 20,103.14

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Solution

The fourth proportional to 35,418.96, 48,872.97 and 20,103.14 is: 27,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,418.96 : 48,872.97 = 20,103.14 : x
  2. Step 2: Convert to fraction form
    35,418.96/48,872.97 = 20,103.14/x
  3. Step 3: Cross multiply
    35,418.96x = 48,872.97 × 20,103.14
  4. Step 4: Simplify right side
    35,418.96x = 982,500,280.31
  5. Step 5: Solve for x
    x = 982,500,280.31/35,418.96
  6. Step 6: Final answer
    x = 27,739.39

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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.