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Finding the Fourth Proportional to 53,742.96, 80,601.48 and 16,806.96

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Solution

The fourth proportional to 53,742.96, 80,601.48 and 16,806.96 is: 25,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,742.96 : 80,601.48 = 16,806.96 : x
  2. Step 2: Convert to fraction form
    53,742.96/80,601.48 = 16,806.96/x
  3. Step 3: Cross multiply
    53,742.96x = 80,601.48 × 16,806.96
  4. Step 4: Simplify right side
    53,742.96x = 1,354,665,850.30
  5. Step 5: Solve for x
    x = 1,354,665,850.30/53,742.96
  6. Step 6: Final answer
    x = 25,206.39

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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.