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Finding the Fourth Proportional to 49,219.54, 67,929.45 and 27,994.70

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Solution

The fourth proportional to 49,219.54, 67,929.45 and 27,994.70 is: 38,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,219.54 : 67,929.45 = 27,994.70 : x
  2. Step 2: Convert to fraction form
    49,219.54/67,929.45 = 27,994.70/x
  3. Step 3: Cross multiply
    49,219.54x = 67,929.45 × 27,994.70
  4. Step 4: Simplify right side
    49,219.54x = 1,901,664,573.92
  5. Step 5: Solve for x
    x = 1,901,664,573.92/49,219.54
  6. Step 6: Final answer
    x = 38,636.37

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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.