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Finding the Fourth Proportional to 35,274.88, 48,680.76 and 20,170

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Solution

The fourth proportional to 35,274.88, 48,680.76 and 20,170 is: 27,835.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,274.88 : 48,680.76 = 20,170 : x
  2. Step 2: Convert to fraction form
    35,274.88/48,680.76 = 20,170/x
  3. Step 3: Cross multiply
    35,274.88x = 48,680.76 × 20,170
  4. Step 4: Simplify right side
    35,274.88x = 981,890,929.20
  5. Step 5: Solve for x
    x = 981,890,929.20/35,274.88
  6. Step 6: Final answer
    x = 27,835.42

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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.