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Finding the Fourth Proportional to 51,052.44, 76,578.66 and 23,331

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Solution

The fourth proportional to 51,052.44, 76,578.66 and 23,331 is: 34,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,052.44 : 76,578.66 = 23,331 : x
  2. Step 2: Convert to fraction form
    51,052.44/76,578.66 = 23,331/x
  3. Step 3: Cross multiply
    51,052.44x = 76,578.66 × 23,331
  4. Step 4: Simplify right side
    51,052.44x = 1,786,656,716.46
  5. Step 5: Solve for x
    x = 1,786,656,716.46/51,052.44
  6. Step 6: Final answer
    x = 34,996.50

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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.