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Finding the Fourth Proportional to 53,832, 80,760.96 and 16,896

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Solution

The fourth proportional to 53,832, 80,760.96 and 16,896 is: 25,348.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,832 : 80,760.96 = 16,896 : x
  2. Step 2: Convert to fraction form
    53,832/80,760.96 = 16,896/x
  3. Step 3: Cross multiply
    53,832x = 80,760.96 × 16,896
  4. Step 4: Simplify right side
    53,832x = 1,364,537,180.16
  5. Step 5: Solve for x
    x = 1,364,537,180.16/53,832
  6. Step 6: Final answer
    x = 25,348.07

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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.