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Finding the Fourth Proportional to 129,723, 194,584.50 and 31,227

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Solution

The fourth proportional to 129,723, 194,584.50 and 31,227 is: 46,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,723 : 194,584.50 = 31,227 : x
  2. Step 2: Convert to fraction form
    129,723/194,584.50 = 31,227/x
  3. Step 3: Cross multiply
    129,723x = 194,584.50 × 31,227
  4. Step 4: Simplify right side
    129,723x = 6,076,290,181.50
  5. Step 5: Solve for x
    x = 6,076,290,181.50/129,723
  6. Step 6: Final answer
    x = 46,840.50

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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.