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Finding the Fourth Proportional to 49,743.82, 68,649 and 28,235.08

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Solution

The fourth proportional to 49,743.82, 68,649 and 28,235.08 is: 38,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,743.82 : 68,649 = 28,235.08 : x
  2. Step 2: Convert to fraction form
    49,743.82/68,649 = 28,235.08/x
  3. Step 3: Cross multiply
    49,743.82x = 68,649 × 28,235.08
  4. Step 4: Simplify right side
    49,743.82x = 1,938,309,663.68
  5. Step 5: Solve for x
    x = 1,938,309,663.68/49,743.82
  6. Step 6: Final answer
    x = 38,965.84

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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.