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Finding the Fourth Proportional to 35,891.64, 49,532.22 and 21,745.80

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Solution

The fourth proportional to 35,891.64, 49,532.22 and 21,745.80 is: 30,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,891.64 : 49,532.22 = 21,745.80 : x
  2. Step 2: Convert to fraction form
    35,891.64/49,532.22 = 21,745.80/x
  3. Step 3: Cross multiply
    35,891.64x = 49,532.22 × 21,745.80
  4. Step 4: Simplify right side
    35,891.64x = 1,077,117,749.68
  5. Step 5: Solve for x
    x = 1,077,117,749.68/35,891.64
  6. Step 6: Final answer
    x = 30,010.27

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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.