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Finding the Fourth Proportional to 53,950, 80,925 and 17,014

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Solution

The fourth proportional to 53,950, 80,925 and 17,014 is: 25,521

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,950 : 80,925 = 17,014 : x
  2. Step 2: Convert to fraction form
    53,950/80,925 = 17,014/x
  3. Step 3: Cross multiply
    53,950x = 80,925 × 17,014
  4. Step 4: Simplify right side
    53,950x = 1,376,857,950
  5. Step 5: Solve for x
    x = 1,376,857,950/53,950
  6. Step 6: Final answer
    x = 25,521

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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.