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Finding the Fourth Proportional to 30,205.40, 45,264.90 and 22,245.80

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Solution

The fourth proportional to 30,205.40, 45,264.90 and 22,245.80 is: 33,336.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.40 : 45,264.90 = 22,245.80 : x
  2. Step 2: Convert to fraction form
    30,205.40/45,264.90 = 22,245.80/x
  3. Step 3: Cross multiply
    30,205.40x = 45,264.90 × 22,245.80
  4. Step 4: Simplify right side
    30,205.40x = 1,006,953,912.42
  5. Step 5: Solve for x
    x = 1,006,953,912.42/30,205.40
  6. Step 6: Final answer
    x = 33,336.88

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