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Finding the Fourth Proportional to 54,741.74, 82,112.61 and 31,351.82

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Solution

The fourth proportional to 54,741.74, 82,112.61 and 31,351.82 is: 47,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,741.74 : 82,112.61 = 31,351.82 : x
  2. Step 2: Convert to fraction form
    54,741.74/82,112.61 = 31,351.82/x
  3. Step 3: Cross multiply
    54,741.74x = 82,112.61 × 31,351.82
  4. Step 4: Simplify right side
    54,741.74x = 2,574,379,768.45
  5. Step 5: Solve for x
    x = 2,574,379,768.45/54,741.74
  6. Step 6: Final answer
    x = 47,027.73

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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.