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Finding the Fourth Proportional to 54,742.73, 82,039.73 and 31,039.07

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Solution

The fourth proportional to 54,742.73, 82,039.73 and 31,039.07 is: 46,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,742.73 : 82,039.73 = 31,039.07 : x
  2. Step 2: Convert to fraction form
    54,742.73/82,039.73 = 31,039.07/x
  3. Step 3: Cross multiply
    54,742.73x = 82,039.73 × 31,039.07
  4. Step 4: Simplify right side
    54,742.73x = 2,546,436,356.86
  5. Step 5: Solve for x
    x = 2,546,436,356.86/54,742.73
  6. Step 6: Final answer
    x = 46,516.43

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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.