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Finding the Fourth Proportional to 49,197.80, 73,813.44 and 15,919.22

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Solution

The fourth proportional to 49,197.80, 73,813.44 and 15,919.22 is: 23,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,197.80 : 73,813.44 = 15,919.22 : x
  2. Step 2: Convert to fraction form
    49,197.80/73,813.44 = 15,919.22/x
  3. Step 3: Cross multiply
    49,197.80x = 73,813.44 × 15,919.22
  4. Step 4: Simplify right side
    49,197.80x = 1,175,052,390.32
  5. Step 5: Solve for x
    x = 1,175,052,390.32/49,197.80
  6. Step 6: Final answer
    x = 23,884.25

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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.