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Finding the Fourth Proportional to 38,863, 53,630.94 and 22,096

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Solution

The fourth proportional to 38,863, 53,630.94 and 22,096 is: 30,492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,863 : 53,630.94 = 22,096 : x
  2. Step 2: Convert to fraction form
    38,863/53,630.94 = 22,096/x
  3. Step 3: Cross multiply
    38,863x = 53,630.94 × 22,096
  4. Step 4: Simplify right side
    38,863x = 1,185,029,250.24
  5. Step 5: Solve for x
    x = 1,185,029,250.24/38,863
  6. Step 6: Final answer
    x = 30,492.48

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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.