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Finding the Fourth Proportional to 33,096.16, 45,654.40 and 20,974.40

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Solution

The fourth proportional to 33,096.16, 45,654.40 and 20,974.40 is: 28,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,096.16 : 45,654.40 = 20,974.40 : x
  2. Step 2: Convert to fraction form
    33,096.16/45,654.40 = 20,974.40/x
  3. Step 3: Cross multiply
    33,096.16x = 45,654.40 × 20,974.40
  4. Step 4: Simplify right side
    33,096.16x = 957,573,647.36
  5. Step 5: Solve for x
    x = 957,573,647.36/33,096.16
  6. Step 6: Final answer
    x = 28,933.07

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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.