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Finding the Fourth Proportional to 54,609.12, 81,933.04 and 31,255.20

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Solution

The fourth proportional to 54,609.12, 81,933.04 and 31,255.20 is: 46,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,609.12 : 81,933.04 = 31,255.20 : x
  2. Step 2: Convert to fraction form
    54,609.12/81,933.04 = 31,255.20/x
  3. Step 3: Cross multiply
    54,609.12x = 81,933.04 × 31,255.20
  4. Step 4: Simplify right side
    54,609.12x = 2,560,833,551.81
  5. Step 5: Solve for x
    x = 2,560,833,551.81/54,609.12
  6. Step 6: Final answer
    x = 46,893.88

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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.