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Finding the Fourth Proportional to 54,922.44, 82,267 and 37,164

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Solution

The fourth proportional to 54,922.44, 82,267 and 37,164 is: 55,667.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,922.44 : 82,267 = 37,164 : x
  2. Step 2: Convert to fraction form
    54,922.44/82,267 = 37,164/x
  3. Step 3: Cross multiply
    54,922.44x = 82,267 × 37,164
  4. Step 4: Simplify right side
    54,922.44x = 3,057,370,788
  5. Step 5: Solve for x
    x = 3,057,370,788/54,922.44
  6. Step 6: Final answer
    x = 55,667.06

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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.