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Finding the Fourth Proportional to 49,418.82, 68,192.88 and 28,194

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Solution

The fourth proportional to 49,418.82, 68,192.88 and 28,194 is: 38,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,418.82 : 68,192.88 = 28,194 : x
  2. Step 2: Convert to fraction form
    49,418.82/68,192.88 = 28,194/x
  3. Step 3: Cross multiply
    49,418.82x = 68,192.88 × 28,194
  4. Step 4: Simplify right side
    49,418.82x = 1,922,630,058.72
  5. Step 5: Solve for x
    x = 1,922,630,058.72/49,418.82
  6. Step 6: Final answer
    x = 38,904.82

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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.