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Finding the Fourth Proportional to 45,198.22, 67,797.74 and 11,923.02

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Solution

The fourth proportional to 45,198.22, 67,797.74 and 11,923.02 is: 17,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,198.22 : 67,797.74 = 11,923.02 : x
  2. Step 2: Convert to fraction form
    45,198.22/67,797.74 = 11,923.02/x
  3. Step 3: Cross multiply
    45,198.22x = 67,797.74 × 11,923.02
  4. Step 4: Simplify right side
    45,198.22x = 808,353,809.97
  5. Step 5: Solve for x
    x = 808,353,809.97/45,198.22
  6. Step 6: Final answer
    x = 17,884.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.