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Finding the Fourth Proportional to 57,788.24, 86,687.64 and 16,234.96

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Solution

The fourth proportional to 57,788.24, 86,687.64 and 16,234.96 is: 24,353.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,788.24 : 86,687.64 = 16,234.96 : x
  2. Step 2: Convert to fraction form
    57,788.24/86,687.64 = 16,234.96/x
  3. Step 3: Cross multiply
    57,788.24x = 86,687.64 × 16,234.96
  4. Step 4: Simplify right side
    57,788.24x = 1,407,370,367.89
  5. Step 5: Solve for x
    x = 1,407,370,367.89/57,788.24
  6. Step 6: Final answer
    x = 24,353.92

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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.