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Finding the Fourth Proportional to 33,814.88, 50,722.32 and 10,440.80

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Solution

The fourth proportional to 33,814.88, 50,722.32 and 10,440.80 is: 15,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814.88 : 50,722.32 = 10,440.80 : x
  2. Step 2: Convert to fraction form
    33,814.88/50,722.32 = 10,440.80/x
  3. Step 3: Cross multiply
    33,814.88x = 50,722.32 × 10,440.80
  4. Step 4: Simplify right side
    33,814.88x = 529,581,598.66
  5. Step 5: Solve for x
    x = 529,581,598.66/33,814.88
  6. Step 6: Final answer
    x = 15,661.20

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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.