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Finding the Fourth Proportional to 35,989.44, 49,662.90 and 20,074.98

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Solution

The fourth proportional to 35,989.44, 49,662.90 and 20,074.98 is: 27,702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,989.44 : 49,662.90 = 20,074.98 : x
  2. Step 2: Convert to fraction form
    35,989.44/49,662.90 = 20,074.98/x
  3. Step 3: Cross multiply
    35,989.44x = 49,662.90 × 20,074.98
  4. Step 4: Simplify right side
    35,989.44x = 996,981,724.24
  5. Step 5: Solve for x
    x = 996,981,724.24/35,989.44
  6. Step 6: Final answer
    x = 27,702.06

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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.