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Finding the Fourth Proportional to 49,417.98, 68,181.03 and 28,198.14

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Solution

The fourth proportional to 49,417.98, 68,181.03 and 28,198.14 is: 38,904.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,417.98 : 68,181.03 = 28,198.14 : x
  2. Step 2: Convert to fraction form
    49,417.98/68,181.03 = 28,198.14/x
  3. Step 3: Cross multiply
    49,417.98x = 68,181.03 × 28,198.14
  4. Step 4: Simplify right side
    49,417.98x = 1,922,578,229.28
  5. Step 5: Solve for x
    x = 1,922,578,229.28/49,417.98
  6. Step 6: Final answer
    x = 38,904.43

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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.