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Finding the Fourth Proportional to 51,954, 77,932.44 and 15,018

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Solution

The fourth proportional to 51,954, 77,932.44 and 15,018 is: 22,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,954 : 77,932.44 = 15,018 : x
  2. Step 2: Convert to fraction form
    51,954/77,932.44 = 15,018/x
  3. Step 3: Cross multiply
    51,954x = 77,932.44 × 15,018
  4. Step 4: Simplify right side
    51,954x = 1,170,389,383.92
  5. Step 5: Solve for x
    x = 1,170,389,383.92/51,954
  6. Step 6: Final answer
    x = 22,527.42

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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.