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Finding the Fourth Proportional to 33,002.40, 49,511.28 and 10,814.40

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Solution

The fourth proportional to 33,002.40, 49,511.28 and 10,814.40 is: 16,224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,002.40 : 49,511.28 = 10,814.40 : x
  2. Step 2: Convert to fraction form
    33,002.40/49,511.28 = 10,814.40/x
  3. Step 3: Cross multiply
    33,002.40x = 49,511.28 × 10,814.40
  4. Step 4: Simplify right side
    33,002.40x = 535,434,786.43
  5. Step 5: Solve for x
    x = 535,434,786.43/33,002.40
  6. Step 6: Final answer
    x = 16,224.12

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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.