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Finding the Fourth Proportional to 45,422.40, 68,086.80 and 20,474.40

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Solution

The fourth proportional to 45,422.40, 68,086.80 and 20,474.40 is: 30,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,422.40 : 68,086.80 = 20,474.40 : x
  2. Step 2: Convert to fraction form
    45,422.40/68,086.80 = 20,474.40/x
  3. Step 3: Cross multiply
    45,422.40x = 68,086.80 × 20,474.40
  4. Step 4: Simplify right side
    45,422.40x = 1,394,036,377.92
  5. Step 5: Solve for x
    x = 1,394,036,377.92/45,422.40
  6. Step 6: Final answer
    x = 30,690.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.