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Finding the Fourth Proportional to 53,852, 80,791.12 and 16,916

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Solution

The fourth proportional to 53,852, 80,791.12 and 16,916 is: 25,378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,852 : 80,791.12 = 16,916 : x
  2. Step 2: Convert to fraction form
    53,852/80,791.12 = 16,916/x
  3. Step 3: Cross multiply
    53,852x = 80,791.12 × 16,916
  4. Step 4: Simplify right side
    53,852x = 1,366,662,585.92
  5. Step 5: Solve for x
    x = 1,366,662,585.92/53,852
  6. Step 6: Final answer
    x = 25,378.12

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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.