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Finding the Fourth Proportional to 83,621.72, 115,401.46 and 47,811.72

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Solution

The fourth proportional to 83,621.72, 115,401.46 and 47,811.72 is: 65,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,621.72 : 115,401.46 = 47,811.72 : x
  2. Step 2: Convert to fraction form
    83,621.72/115,401.46 = 47,811.72/x
  3. Step 3: Cross multiply
    83,621.72x = 115,401.46 × 47,811.72
  4. Step 4: Simplify right side
    83,621.72x = 5,517,542,046.85
  5. Step 5: Solve for x
    x = 5,517,542,046.85/83,621.72
  6. Step 6: Final answer
    x = 65,982.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.