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Finding the Fourth Proportional to 49,218.54, 67,928.07 and 27,993.70

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Solution

The fourth proportional to 49,218.54, 67,928.07 and 27,993.70 is: 38,635.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,218.54 : 67,928.07 = 27,993.70 : x
  2. Step 2: Convert to fraction form
    49,218.54/67,928.07 = 27,993.70/x
  3. Step 3: Cross multiply
    49,218.54x = 67,928.07 × 27,993.70
  4. Step 4: Simplify right side
    49,218.54x = 1,901,558,045.58
  5. Step 5: Solve for x
    x = 1,901,558,045.58/49,218.54
  6. Step 6: Final answer
    x = 38,635.00

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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.