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Finding the Fourth Proportional to 31,754.94, 43,801.83 and 20,576.22

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Solution

The fourth proportional to 31,754.94, 43,801.83 and 20,576.22 is: 28,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,754.94 : 43,801.83 = 20,576.22 : x
  2. Step 2: Convert to fraction form
    31,754.94/43,801.83 = 20,576.22/x
  3. Step 3: Cross multiply
    31,754.94x = 43,801.83 × 20,576.22
  4. Step 4: Simplify right side
    31,754.94x = 901,276,090.48
  5. Step 5: Solve for x
    x = 901,276,090.48/31,754.94
  6. Step 6: Final answer
    x = 28,382.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.