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Finding the Fourth Proportional to 47,832, 71,759.52 and 15,000

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Solution

The fourth proportional to 47,832, 71,759.52 and 15,000 is: 22,503.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,832 : 71,759.52 = 15,000 : x
  2. Step 2: Convert to fraction form
    47,832/71,759.52 = 15,000/x
  3. Step 3: Cross multiply
    47,832x = 71,759.52 × 15,000
  4. Step 4: Simplify right side
    47,832x = 1,076,392,800
  5. Step 5: Solve for x
    x = 1,076,392,800/47,832
  6. Step 6: Final answer
    x = 22,503.61

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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.