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Finding the Fourth Proportional to 31,615.10, 47,408.78 and 11,879.80

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Solution

The fourth proportional to 31,615.10, 47,408.78 and 11,879.80 is: 17,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,615.10 : 47,408.78 = 11,879.80 : x
  2. Step 2: Convert to fraction form
    31,615.10/47,408.78 = 11,879.80/x
  3. Step 3: Cross multiply
    31,615.10x = 47,408.78 × 11,879.80
  4. Step 4: Simplify right side
    31,615.10x = 563,206,735.82
  5. Step 5: Solve for x
    x = 563,206,735.82/31,615.10
  6. Step 6: Final answer
    x = 17,814.49

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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.