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Finding the Fourth Proportional to 33,005.20, 49,512.60 and 10,814.80

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Solution

The fourth proportional to 33,005.20, 49,512.60 and 10,814.80 is: 16,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.20 : 49,512.60 = 10,814.80 : x
  2. Step 2: Convert to fraction form
    33,005.20/49,512.60 = 10,814.80/x
  3. Step 3: Cross multiply
    33,005.20x = 49,512.60 × 10,814.80
  4. Step 4: Simplify right side
    33,005.20x = 535,468,866.48
  5. Step 5: Solve for x
    x = 535,468,866.48/33,005.20
  6. Step 6: Final answer
    x = 16,223.77

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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.