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Finding the Fourth Proportional to 30,082.33, 41,513.94 and 16,653.80

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Solution

The fourth proportional to 30,082.33, 41,513.94 and 16,653.80 is: 22,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082.33 : 41,513.94 = 16,653.80 : x
  2. Step 2: Convert to fraction form
    30,082.33/41,513.94 = 16,653.80/x
  3. Step 3: Cross multiply
    30,082.33x = 41,513.94 × 16,653.80
  4. Step 4: Simplify right side
    30,082.33x = 691,364,957.76
  5. Step 5: Solve for x
    x = 691,364,957.76/30,082.33
  6. Step 6: Final answer
    x = 22,982.43

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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.