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Finding the Fourth Proportional to 33,004.80, 49,514.40 and 10,814.40

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Solution

The fourth proportional to 33,004.80, 49,514.40 and 10,814.40 is: 16,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,004.80 : 49,514.40 = 10,814.40 : x
  2. Step 2: Convert to fraction form
    33,004.80/49,514.40 = 10,814.40/x
  3. Step 3: Cross multiply
    33,004.80x = 49,514.40 × 10,814.40
  4. Step 4: Simplify right side
    33,004.80x = 535,468,527.36
  5. Step 5: Solve for x
    x = 535,468,527.36/33,004.80
  6. Step 6: Final answer
    x = 16,223.96

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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.