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Finding the Fourth Proportional to 38,273.88, 57,415.14 and 16,083.12

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Solution

The fourth proportional to 38,273.88, 57,415.14 and 16,083.12 is: 24,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,273.88 : 57,415.14 = 16,083.12 : x
  2. Step 2: Convert to fraction form
    38,273.88/57,415.14 = 16,083.12/x
  3. Step 3: Cross multiply
    38,273.88x = 57,415.14 × 16,083.12
  4. Step 4: Simplify right side
    38,273.88x = 923,414,586.44
  5. Step 5: Solve for x
    x = 923,414,586.44/38,273.88
  6. Step 6: Final answer
    x = 24,126.50

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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.