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Finding the Fourth Proportional to 54,658.64, 81,936.12 and 23,474

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Solution

The fourth proportional to 54,658.64, 81,936.12 and 23,474 is: 35,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,658.64 : 81,936.12 = 23,474 : x
  2. Step 2: Convert to fraction form
    54,658.64/81,936.12 = 23,474/x
  3. Step 3: Cross multiply
    54,658.64x = 81,936.12 × 23,474
  4. Step 4: Simplify right side
    54,658.64x = 1,923,368,480.88
  5. Step 5: Solve for x
    x = 1,923,368,480.88/54,658.64
  6. Step 6: Final answer
    x = 35,188.74

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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.