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Finding the Fourth Proportional to 31,351.56, 47,027.60 and 7,978

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Solution

The fourth proportional to 31,351.56, 47,027.60 and 7,978 is: 11,967.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,351.56 : 47,027.60 = 7,978 : x
  2. Step 2: Convert to fraction form
    31,351.56/47,027.60 = 7,978/x
  3. Step 3: Cross multiply
    31,351.56x = 47,027.60 × 7,978
  4. Step 4: Simplify right side
    31,351.56x = 375,186,192.80
  5. Step 5: Solve for x
    x = 375,186,192.80/31,351.56
  6. Step 6: Final answer
    x = 11,967.07

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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.