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Finding the Fourth Proportional to 49,435.92, 68,204.88 and 28,200.24

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Solution

The fourth proportional to 49,435.92, 68,204.88 and 28,200.24 is: 38,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,435.92 : 68,204.88 = 28,200.24 : x
  2. Step 2: Convert to fraction form
    49,435.92/68,204.88 = 28,200.24/x
  3. Step 3: Cross multiply
    49,435.92x = 68,204.88 × 28,200.24
  4. Step 4: Simplify right side
    49,435.92x = 1,923,393,985.17
  5. Step 5: Solve for x
    x = 1,923,393,985.17/49,435.92
  6. Step 6: Final answer
    x = 38,906.81

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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.