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Finding the Fourth Proportional to 54,893.57, 82,371.51 and 25,311.41

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Solution

The fourth proportional to 54,893.57, 82,371.51 and 25,311.41 is: 37,981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,893.57 : 82,371.51 = 25,311.41 : x
  2. Step 2: Convert to fraction form
    54,893.57/82,371.51 = 25,311.41/x
  3. Step 3: Cross multiply
    54,893.57x = 82,371.51 × 25,311.41
  4. Step 4: Simplify right side
    54,893.57x = 2,084,939,119.45
  5. Step 5: Solve for x
    x = 2,084,939,119.45/54,893.57
  6. Step 6: Final answer
    x = 37,981.48

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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.