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Finding the Fourth Proportional to 54,207.70, 81,311.55 and 41,085.70

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Solution

The fourth proportional to 54,207.70, 81,311.55 and 41,085.70 is: 61,628.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,207.70 : 81,311.55 = 41,085.70 : x
  2. Step 2: Convert to fraction form
    54,207.70/81,311.55 = 41,085.70/x
  3. Step 3: Cross multiply
    54,207.70x = 81,311.55 × 41,085.70
  4. Step 4: Simplify right side
    54,207.70x = 3,340,741,949.84
  5. Step 5: Solve for x
    x = 3,340,741,949.84/54,207.70
  6. Step 6: Final answer
    x = 61,628.55

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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.