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Finding the Fourth Proportional to 51,965.75, 71,712.74 and 28,092.42

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Solution

The fourth proportional to 51,965.75, 71,712.74 and 28,092.42 is: 38,767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,965.75 : 71,712.74 = 28,092.42 : x
  2. Step 2: Convert to fraction form
    51,965.75/71,712.74 = 28,092.42/x
  3. Step 3: Cross multiply
    51,965.75x = 71,712.74 × 28,092.42
  4. Step 4: Simplify right side
    51,965.75x = 2,014,584,481.66
  5. Step 5: Solve for x
    x = 2,014,584,481.66/51,965.75
  6. Step 6: Final answer
    x = 38,767.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.