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Finding the Fourth Proportional to 82,414.44, 123,615.90 and 47,243.88

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Solution

The fourth proportional to 82,414.44, 123,615.90 and 47,243.88 is: 70,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,414.44 : 123,615.90 = 47,243.88 : x
  2. Step 2: Convert to fraction form
    82,414.44/123,615.90 = 47,243.88/x
  3. Step 3: Cross multiply
    82,414.44x = 123,615.90 × 47,243.88
  4. Step 4: Simplify right side
    82,414.44x = 5,840,094,745.69
  5. Step 5: Solve for x
    x = 5,840,094,745.69/82,414.44
  6. Step 6: Final answer
    x = 70,862.52

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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.