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Finding the Fourth Proportional to 57,791.24, 86,690.10 and 16,235

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Solution

The fourth proportional to 57,791.24, 86,690.10 and 16,235 is: 24,353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,791.24 : 86,690.10 = 16,235 : x
  2. Step 2: Convert to fraction form
    57,791.24/86,690.10 = 16,235/x
  3. Step 3: Cross multiply
    57,791.24x = 86,690.10 × 16,235
  4. Step 4: Simplify right side
    57,791.24x = 1,407,413,773.50
  5. Step 5: Solve for x
    x = 1,407,413,773.50/57,791.24
  6. Step 6: Final answer
    x = 24,353.41

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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.