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Finding the Fourth Proportional to 54,198.54, 74,789.88 and 31,537.68

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Solution

The fourth proportional to 54,198.54, 74,789.88 and 31,537.68 is: 43,519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,198.54 : 74,789.88 = 31,537.68 : x
  2. Step 2: Convert to fraction form
    54,198.54/74,789.88 = 31,537.68/x
  3. Step 3: Cross multiply
    54,198.54x = 74,789.88 × 31,537.68
  4. Step 4: Simplify right side
    54,198.54x = 2,358,699,302.68
  5. Step 5: Solve for x
    x = 2,358,699,302.68/54,198.54
  6. Step 6: Final answer
    x = 43,519.61

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Why These Related Problems?

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