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Finding the Fourth Proportional to 31,351.86, 47,027.18 and 7,659.56

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Solution

The fourth proportional to 31,351.86, 47,027.18 and 7,659.56 is: 11,489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,351.86 : 47,027.18 = 7,659.56 : x
  2. Step 2: Convert to fraction form
    31,351.86/47,027.18 = 7,659.56/x
  3. Step 3: Cross multiply
    31,351.86x = 47,027.18 × 7,659.56
  4. Step 4: Simplify right side
    31,351.86x = 360,207,643.56
  5. Step 5: Solve for x
    x = 360,207,643.56/31,351.86
  6. Step 6: Final answer
    x = 11,489.20

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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.