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Finding the Fourth Proportional to 36,067.21, 49,773 and 20,152.33

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Solution

The fourth proportional to 36,067.21, 49,773 and 20,152.33 is: 27,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,067.21 : 49,773 = 20,152.33 : x
  2. Step 2: Convert to fraction form
    36,067.21/49,773 = 20,152.33/x
  3. Step 3: Cross multiply
    36,067.21x = 49,773 × 20,152.33
  4. Step 4: Simplify right side
    36,067.21x = 1,003,041,921.09
  5. Step 5: Solve for x
    x = 1,003,041,921.09/36,067.21
  6. Step 6: Final answer
    x = 27,810.36

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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.