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Finding the Fourth Proportional to 33,082.84, 45,666.30 and 21,908.44

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Solution

The fourth proportional to 33,082.84, 45,666.30 and 21,908.44 is: 30,241.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,082.84 : 45,666.30 = 21,908.44 : x
  2. Step 2: Convert to fraction form
    33,082.84/45,666.30 = 21,908.44/x
  3. Step 3: Cross multiply
    33,082.84x = 45,666.30 × 21,908.44
  4. Step 4: Simplify right side
    33,082.84x = 1,000,477,393.57
  5. Step 5: Solve for x
    x = 1,000,477,393.57/33,082.84
  6. Step 6: Final answer
    x = 30,241.58

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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.