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Finding the Fourth Proportional to 57,825.38, 86,738.09 and 16,272.38

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Solution

The fourth proportional to 57,825.38, 86,738.09 and 16,272.38 is: 24,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,825.38 : 86,738.09 = 16,272.38 : x
  2. Step 2: Convert to fraction form
    57,825.38/86,738.09 = 16,272.38/x
  3. Step 3: Cross multiply
    57,825.38x = 86,738.09 × 16,272.38
  4. Step 4: Simplify right side
    57,825.38x = 1,411,434,645.90
  5. Step 5: Solve for x
    x = 1,411,434,645.90/57,825.38
  6. Step 6: Final answer
    x = 24,408.57

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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.