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Finding the Fourth Proportional to 31,876.85, 47,814.74 and 11,099.81

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Solution

The fourth proportional to 31,876.85, 47,814.74 and 11,099.81 is: 16,649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,876.85 : 47,814.74 = 11,099.81 : x
  2. Step 2: Convert to fraction form
    31,876.85/47,814.74 = 11,099.81/x
  3. Step 3: Cross multiply
    31,876.85x = 47,814.74 × 11,099.81
  4. Step 4: Simplify right side
    31,876.85x = 530,734,634.86
  5. Step 5: Solve for x
    x = 530,734,634.86/31,876.85
  6. Step 6: Final answer
    x = 16,649.53

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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.