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Finding the Fourth Proportional to 33,984, 46,900.80 and 19,082.88

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Solution

The fourth proportional to 33,984, 46,900.80 and 19,082.88 is: 26,335.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,984 : 46,900.80 = 19,082.88 : x
  2. Step 2: Convert to fraction form
    33,984/46,900.80 = 19,082.88/x
  3. Step 3: Cross multiply
    33,984x = 46,900.80 × 19,082.88
  4. Step 4: Simplify right side
    33,984x = 895,002,338.30
  5. Step 5: Solve for x
    x = 895,002,338.30/33,984
  6. Step 6: Final answer
    x = 26,335.99

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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.