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Finding the Fourth Proportional to 31,649.48, 47,480.63 and 14,119.31

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Solution

The fourth proportional to 31,649.48, 47,480.63 and 14,119.31 is: 21,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,649.48 : 47,480.63 = 14,119.31 : x
  2. Step 2: Convert to fraction form
    31,649.48/47,480.63 = 14,119.31/x
  3. Step 3: Cross multiply
    31,649.48x = 47,480.63 × 14,119.31
  4. Step 4: Simplify right side
    31,649.48x = 670,393,861.49
  5. Step 5: Solve for x
    x = 670,393,861.49/31,649.48
  6. Step 6: Final answer
    x = 21,181.83

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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.