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Finding the Fourth Proportional to 36,201.36, 49,959 and 20,282.16

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Solution

The fourth proportional to 36,201.36, 49,959 and 20,282.16 is: 27,990.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,201.36 : 49,959 = 20,282.16 : x
  2. Step 2: Convert to fraction form
    36,201.36/49,959 = 20,282.16/x
  3. Step 3: Cross multiply
    36,201.36x = 49,959 × 20,282.16
  4. Step 4: Simplify right side
    36,201.36x = 1,013,276,431.44
  5. Step 5: Solve for x
    x = 1,013,276,431.44/36,201.36
  6. Step 6: Final answer
    x = 27,990.01

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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.