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Finding the Fourth Proportional to 49,420.82, 68,195.64 and 28,196

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Solution

The fourth proportional to 49,420.82, 68,195.64 and 28,196 is: 38,907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,420.82 : 68,195.64 = 28,196 : x
  2. Step 2: Convert to fraction form
    49,420.82/68,195.64 = 28,196/x
  3. Step 3: Cross multiply
    49,420.82x = 68,195.64 × 28,196
  4. Step 4: Simplify right side
    49,420.82x = 1,922,844,265.44
  5. Step 5: Solve for x
    x = 1,922,844,265.44/49,420.82
  6. Step 6: Final answer
    x = 38,907.58

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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.