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Finding the Fourth Proportional to 54,261.82, 81,414.16 and 16,824.84

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Solution

The fourth proportional to 54,261.82, 81,414.16 and 16,824.84 is: 25,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,261.82 : 81,414.16 = 16,824.84 : x
  2. Step 2: Convert to fraction form
    54,261.82/81,414.16 = 16,824.84/x
  3. Step 3: Cross multiply
    54,261.82x = 81,414.16 × 16,824.84
  4. Step 4: Simplify right side
    54,261.82x = 1,369,780,215.73
  5. Step 5: Solve for x
    x = 1,369,780,215.73/54,261.82
  6. Step 6: Final answer
    x = 25,243.90

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1.5x scale

Why These Related Problems?

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