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Finding the Fourth Proportional to 54,992.98, 82,452.44 and 25,394.50

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Solution

The fourth proportional to 54,992.98, 82,452.44 and 25,394.50 is: 38,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,992.98 : 82,452.44 = 25,394.50 : x
  2. Step 2: Convert to fraction form
    54,992.98/82,452.44 = 25,394.50/x
  3. Step 3: Cross multiply
    54,992.98x = 82,452.44 × 25,394.50
  4. Step 4: Simplify right side
    54,992.98x = 2,093,838,487.58
  5. Step 5: Solve for x
    x = 2,093,838,487.58/54,992.98
  6. Step 6: Final answer
    x = 38,074.65

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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.