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Finding the Fourth Proportional to 51,873, 77,794.10 and 22,283.92

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Solution

The fourth proportional to 51,873, 77,794.10 and 22,283.92 is: 33,419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,873 : 77,794.10 = 22,283.92 : x
  2. Step 2: Convert to fraction form
    51,873/77,794.10 = 22,283.92/x
  3. Step 3: Cross multiply
    51,873x = 77,794.10 × 22,283.92
  4. Step 4: Simplify right side
    51,873x = 1,733,557,500.87
  5. Step 5: Solve for x
    x = 1,733,557,500.87/51,873
  6. Step 6: Final answer
    x = 33,419.26

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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.