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Finding the Fourth Proportional to 69,257.94, 103,804.88 and 31,786.44

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Solution

The fourth proportional to 69,257.94, 103,804.88 and 31,786.44 is: 47,642.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,257.94 : 103,804.88 = 31,786.44 : x
  2. Step 2: Convert to fraction form
    69,257.94/103,804.88 = 31,786.44/x
  3. Step 3: Cross multiply
    69,257.94x = 103,804.88 × 31,786.44
  4. Step 4: Simplify right side
    69,257.94x = 3,299,587,589.83
  5. Step 5: Solve for x
    x = 3,299,587,589.83/69,257.94
  6. Step 6: Final answer
    x = 47,642.01

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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.