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Finding the Fourth Proportional to 30,078.36, 41,507.44 and 16,648.80

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Solution

The fourth proportional to 30,078.36, 41,507.44 and 16,648.80 is: 22,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078.36 : 41,507.44 = 16,648.80 : x
  2. Step 2: Convert to fraction form
    30,078.36/41,507.44 = 16,648.80/x
  3. Step 3: Cross multiply
    30,078.36x = 41,507.44 × 16,648.80
  4. Step 4: Simplify right side
    30,078.36x = 691,049,067.07
  5. Step 5: Solve for x
    x = 691,049,067.07/30,078.36
  6. Step 6: Final answer
    x = 22,974.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.