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Finding the Fourth Proportional to 49,623, 68,479.76 and 27,267

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Solution

The fourth proportional to 49,623, 68,479.76 and 27,267 is: 37,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,623 : 68,479.76 = 27,267 : x
  2. Step 2: Convert to fraction form
    49,623/68,479.76 = 27,267/x
  3. Step 3: Cross multiply
    49,623x = 68,479.76 × 27,267
  4. Step 4: Simplify right side
    49,623x = 1,867,237,615.92
  5. Step 5: Solve for x
    x = 1,867,237,615.92/49,623
  6. Step 6: Final answer
    x = 37,628.47

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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.