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Finding the Fourth Proportional to 37,078.44, 51,168 and 21,162

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Solution

The fourth proportional to 37,078.44, 51,168 and 21,162 is: 29,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,078.44 : 51,168 = 21,162 : x
  2. Step 2: Convert to fraction form
    37,078.44/51,168 = 21,162/x
  3. Step 3: Cross multiply
    37,078.44x = 51,168 × 21,162
  4. Step 4: Simplify right side
    37,078.44x = 1,082,817,216
  5. Step 5: Solve for x
    x = 1,082,817,216/37,078.44
  6. Step 6: Final answer
    x = 29,203.42

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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.