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Finding the Fourth Proportional to 83,371.50, 125,070.31 and 27,198.63

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Solution

The fourth proportional to 83,371.50, 125,070.31 and 27,198.63 is: 40,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,371.50 : 125,070.31 = 27,198.63 : x
  2. Step 2: Convert to fraction form
    83,371.50/125,070.31 = 27,198.63/x
  3. Step 3: Cross multiply
    83,371.50x = 125,070.31 × 27,198.63
  4. Step 4: Simplify right side
    83,371.50x = 3,401,741,085.68
  5. Step 5: Solve for x
    x = 3,401,741,085.68/83,371.50
  6. Step 6: Final answer
    x = 40,802.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.