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Finding the Fourth Proportional to 57,806.25, 86,709.38 and 16,253.25

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Solution

The fourth proportional to 57,806.25, 86,709.38 and 16,253.25 is: 24,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,806.25 : 86,709.38 = 16,253.25 : x
  2. Step 2: Convert to fraction form
    57,806.25/86,709.38 = 16,253.25/x
  3. Step 3: Cross multiply
    57,806.25x = 86,709.38 × 16,253.25
  4. Step 4: Simplify right side
    57,806.25x = 1,409,309,149.22
  5. Step 5: Solve for x
    x = 1,409,309,149.22/57,806.25
  6. Step 6: Final answer
    x = 24,379.88

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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.