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Finding the Fourth Proportional to 36,080, 49,799.20 and 21,942.24

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Solution

The fourth proportional to 36,080, 49,799.20 and 21,942.24 is: 30,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,080 : 49,799.20 = 21,942.24 : x
  2. Step 2: Convert to fraction form
    36,080/49,799.20 = 21,942.24/x
  3. Step 3: Cross multiply
    36,080x = 49,799.20 × 21,942.24
  4. Step 4: Simplify right side
    36,080x = 1,092,705,998.21
  5. Step 5: Solve for x
    x = 1,092,705,998.21/36,080
  6. Step 6: Final answer
    x = 30,285.64

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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.