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Finding the Fourth Proportional to 36,163.36, 49,880.32 and 30,772

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Solution

The fourth proportional to 36,163.36, 49,880.32 and 30,772 is: 42,443.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,163.36 : 49,880.32 = 30,772 : x
  2. Step 2: Convert to fraction form
    36,163.36/49,880.32 = 30,772/x
  3. Step 3: Cross multiply
    36,163.36x = 49,880.32 × 30,772
  4. Step 4: Simplify right side
    36,163.36x = 1,534,917,207.04
  5. Step 5: Solve for x
    x = 1,534,917,207.04/36,163.36
  6. Step 6: Final answer
    x = 42,443.99

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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.