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Finding the Fourth Proportional to 57,895.96, 86,843.94 and 16,342.96

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Solution

The fourth proportional to 57,895.96, 86,843.94 and 16,342.96 is: 24,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,895.96 : 86,843.94 = 16,342.96 : x
  2. Step 2: Convert to fraction form
    57,895.96/86,843.94 = 16,342.96/x
  3. Step 3: Cross multiply
    57,895.96x = 86,843.94 × 16,342.96
  4. Step 4: Simplify right side
    57,895.96x = 1,419,287,037.66
  5. Step 5: Solve for x
    x = 1,419,287,037.66/57,895.96
  6. Step 6: Final answer
    x = 24,514.44

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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.