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Finding the Fourth Proportional to 73,283.49, 109,939.86 and 31,163.31

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Solution

The fourth proportional to 73,283.49, 109,939.86 and 31,163.31 is: 46,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,283.49 : 109,939.86 = 31,163.31 : x
  2. Step 2: Convert to fraction form
    73,283.49/109,939.86 = 31,163.31/x
  3. Step 3: Cross multiply
    73,283.49x = 109,939.86 × 31,163.31
  4. Step 4: Simplify right side
    73,283.49x = 3,426,089,938.54
  5. Step 5: Solve for x
    x = 3,426,089,938.54/73,283.49
  6. Step 6: Final answer
    x = 46,751.18

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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.