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Finding the Fourth Proportional to 54,433.68, 81,640.80 and 34,653.48

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Solution

The fourth proportional to 54,433.68, 81,640.80 and 34,653.48 is: 51,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,433.68 : 81,640.80 = 34,653.48 : x
  2. Step 2: Convert to fraction form
    54,433.68/81,640.80 = 34,653.48/x
  3. Step 3: Cross multiply
    54,433.68x = 81,640.80 × 34,653.48
  4. Step 4: Simplify right side
    54,433.68x = 2,829,137,829.98
  5. Step 5: Solve for x
    x = 2,829,137,829.98/54,433.68
  6. Step 6: Final answer
    x = 51,974.03

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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.