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Finding the Fourth Proportional to 57,755.72, 86,636.64 and 16,205.96

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Solution

The fourth proportional to 57,755.72, 86,636.64 and 16,205.96 is: 24,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,755.72 : 86,636.64 = 16,205.96 : x
  2. Step 2: Convert to fraction form
    57,755.72/86,636.64 = 16,205.96/x
  3. Step 3: Cross multiply
    57,755.72x = 86,636.64 × 16,205.96
  4. Step 4: Simplify right side
    57,755.72x = 1,404,029,489.19
  5. Step 5: Solve for x
    x = 1,404,029,489.19/57,755.72
  6. Step 6: Final answer
    x = 24,309.79

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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.