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Finding the Fourth Proportional to 53,823, 80,735.22 and 16,887

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Solution

The fourth proportional to 53,823, 80,735.22 and 16,887 is: 25,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,823 : 80,735.22 = 16,887 : x
  2. Step 2: Convert to fraction form
    53,823/80,735.22 = 16,887/x
  3. Step 3: Cross multiply
    53,823x = 80,735.22 × 16,887
  4. Step 4: Simplify right side
    53,823x = 1,363,375,660.14
  5. Step 5: Solve for x
    x = 1,363,375,660.14/53,823
  6. Step 6: Final answer
    x = 25,330.73

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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.