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Finding the Fourth Proportional to 47,874.64, 71,844.76 and 16,709.88

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Solution

The fourth proportional to 47,874.64, 71,844.76 and 16,709.88 is: 25,076.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874.64 : 71,844.76 = 16,709.88 : x
  2. Step 2: Convert to fraction form
    47,874.64/71,844.76 = 16,709.88/x
  3. Step 3: Cross multiply
    47,874.64x = 71,844.76 × 16,709.88
  4. Step 4: Simplify right side
    47,874.64x = 1,200,517,318.23
  5. Step 5: Solve for x
    x = 1,200,517,318.23/47,874.64
  6. Step 6: Final answer
    x = 25,076.27

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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.