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Finding the Fourth Proportional to 47,880.68, 71,796.98 and 27,896.64

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Solution

The fourth proportional to 47,880.68, 71,796.98 and 27,896.64 is: 41,830.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,880.68 : 71,796.98 = 27,896.64 : x
  2. Step 2: Convert to fraction form
    47,880.68/71,796.98 = 27,896.64/x
  3. Step 3: Cross multiply
    47,880.68x = 71,796.98 × 27,896.64
  4. Step 4: Simplify right side
    47,880.68x = 2,002,894,504.15
  5. Step 5: Solve for x
    x = 2,002,894,504.15/47,880.68
  6. Step 6: Final answer
    x = 41,830.95

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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.