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Finding the Fourth Proportional to 49,420.98, 68,205.86 and 28,203.44

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Solution

The fourth proportional to 49,420.98, 68,205.86 and 28,203.44 is: 38,923.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,420.98 : 68,205.86 = 28,203.44 : x
  2. Step 2: Convert to fraction form
    49,420.98/68,205.86 = 28,203.44/x
  3. Step 3: Cross multiply
    49,420.98x = 68,205.86 × 28,203.44
  4. Step 4: Simplify right side
    49,420.98x = 1,923,639,398.11
  5. Step 5: Solve for x
    x = 1,923,639,398.11/49,420.98
  6. Step 6: Final answer
    x = 38,923.54

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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.