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Finding the Fourth Proportional to 49,477.44, 68,282.19 and 27,959.73

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Solution

The fourth proportional to 49,477.44, 68,282.19 and 27,959.73 is: 38,586.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,477.44 : 68,282.19 = 27,959.73 : x
  2. Step 2: Convert to fraction form
    49,477.44/68,282.19 = 27,959.73/x
  3. Step 3: Cross multiply
    49,477.44x = 68,282.19 × 27,959.73
  4. Step 4: Simplify right side
    49,477.44x = 1,909,151,596.21
  5. Step 5: Solve for x
    x = 1,909,151,596.21/49,477.44
  6. Step 6: Final answer
    x = 38,586.31

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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.