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Finding the Fourth Proportional to 47,002, 70,504.92 and 11,942.56

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Solution

The fourth proportional to 47,002, 70,504.92 and 11,942.56 is: 17,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,002 : 70,504.92 = 11,942.56 : x
  2. Step 2: Convert to fraction form
    47,002/70,504.92 = 11,942.56/x
  3. Step 3: Cross multiply
    47,002x = 70,504.92 × 11,942.56
  4. Step 4: Simplify right side
    47,002x = 842,009,237.40
  5. Step 5: Solve for x
    x = 842,009,237.40/47,002
  6. Step 6: Final answer
    x = 17,914.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.