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Finding the Fourth Proportional to 53,850, 80,778.24 and 16,914

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Solution

The fourth proportional to 53,850, 80,778.24 and 16,914 is: 25,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,850 : 80,778.24 = 16,914 : x
  2. Step 2: Convert to fraction form
    53,850/80,778.24 = 16,914/x
  3. Step 3: Cross multiply
    53,850x = 80,778.24 × 16,914
  4. Step 4: Simplify right side
    53,850x = 1,366,283,151.36
  5. Step 5: Solve for x
    x = 1,366,283,151.36/53,850
  6. Step 6: Final answer
    x = 25,372.02

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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.