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Finding the Fourth Proportional to 31,755.44, 43,802.52 and 20,576.72

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Solution

The fourth proportional to 31,755.44, 43,802.52 and 20,576.72 is: 28,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,755.44 : 43,802.52 = 20,576.72 : x
  2. Step 2: Convert to fraction form
    31,755.44/43,802.52 = 20,576.72/x
  3. Step 3: Cross multiply
    31,755.44x = 43,802.52 × 20,576.72
  4. Step 4: Simplify right side
    31,755.44x = 901,312,189.33
  5. Step 5: Solve for x
    x = 901,312,189.33/31,755.44
  6. Step 6: Final answer
    x = 28,382.92

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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.