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Finding the Fourth Proportional to 57,806.57, 86,709.88 and 16,253.57

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Solution

The fourth proportional to 57,806.57, 86,709.88 and 16,253.57 is: 24,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,806.57 : 86,709.88 = 16,253.57 : x
  2. Step 2: Convert to fraction form
    57,806.57/86,709.88 = 16,253.57/x
  3. Step 3: Cross multiply
    57,806.57x = 86,709.88 × 16,253.57
  4. Step 4: Simplify right side
    57,806.57x = 1,409,344,670.72
  5. Step 5: Solve for x
    x = 1,409,344,670.72/57,806.57
  6. Step 6: Final answer
    x = 24,380.36

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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.