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Finding the Fourth Proportional to 32,367.22, 44,680.57 and 21,763

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Solution

The fourth proportional to 32,367.22, 44,680.57 and 21,763 is: 30,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,367.22 : 44,680.57 = 21,763 : x
  2. Step 2: Convert to fraction form
    32,367.22/44,680.57 = 21,763/x
  3. Step 3: Cross multiply
    32,367.22x = 44,680.57 × 21,763
  4. Step 4: Simplify right side
    32,367.22x = 972,383,244.91
  5. Step 5: Solve for x
    x = 972,383,244.91/32,367.22
  6. Step 6: Final answer
    x = 30,042.22

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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.