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Finding the Fourth Proportional to 47,474.75, 71,212.28 and 17,884.64

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Solution

The fourth proportional to 47,474.75, 71,212.28 and 17,884.64 is: 26,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,474.75 : 71,212.28 = 17,884.64 : x
  2. Step 2: Convert to fraction form
    47,474.75/71,212.28 = 17,884.64/x
  3. Step 3: Cross multiply
    47,474.75x = 71,212.28 × 17,884.64
  4. Step 4: Simplify right side
    47,474.75x = 1,273,605,991.38
  5. Step 5: Solve for x
    x = 1,273,605,991.38/47,474.75
  6. Step 6: Final answer
    x = 26,827.02

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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.