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Finding the Fourth Proportional to 54,536.81, 81,836.40 and 24,954.40

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Solution

The fourth proportional to 54,536.81, 81,836.40 and 24,954.40 is: 37,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,536.81 : 81,836.40 = 24,954.40 : x
  2. Step 2: Convert to fraction form
    54,536.81/81,836.40 = 24,954.40/x
  3. Step 3: Cross multiply
    54,536.81x = 81,836.40 × 24,954.40
  4. Step 4: Simplify right side
    54,536.81x = 2,042,177,850.98
  5. Step 5: Solve for x
    x = 2,042,177,850.98/54,536.81
  6. Step 6: Final answer
    x = 37,445.86

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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.