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Finding the Fourth Proportional to 51,193.99, 76,825.59 and 17,914.34

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Solution

The fourth proportional to 51,193.99, 76,825.59 and 17,914.34 is: 26,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,193.99 : 76,825.59 = 17,914.34 : x
  2. Step 2: Convert to fraction form
    51,193.99/76,825.59 = 17,914.34/x
  3. Step 3: Cross multiply
    51,193.99x = 76,825.59 × 17,914.34
  4. Step 4: Simplify right side
    51,193.99x = 1,376,279,739.96
  5. Step 5: Solve for x
    x = 1,376,279,739.96/51,193.99
  6. Step 6: Final answer
    x = 26,883.62

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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.