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Finding the Fourth Proportional to 30,272.36, 41,775.06 and 16,843.64

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Solution

The fourth proportional to 30,272.36, 41,775.06 and 16,843.64 is: 23,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,272.36 : 41,775.06 = 16,843.64 : x
  2. Step 2: Convert to fraction form
    30,272.36/41,775.06 = 16,843.64/x
  3. Step 3: Cross multiply
    30,272.36x = 41,775.06 × 16,843.64
  4. Step 4: Simplify right side
    30,272.36x = 703,644,071.62
  5. Step 5: Solve for x
    x = 703,644,071.62/30,272.36
  6. Step 6: Final answer
    x = 23,243.78

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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.