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Finding the Fourth Proportional to 33,016.56, 49,532.64 and 10,830

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Solution

The fourth proportional to 33,016.56, 49,532.64 and 10,830 is: 16,247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,016.56 : 49,532.64 = 10,830 : x
  2. Step 2: Convert to fraction form
    33,016.56/49,532.64 = 10,830/x
  3. Step 3: Cross multiply
    33,016.56x = 49,532.64 × 10,830
  4. Step 4: Simplify right side
    33,016.56x = 536,438,491.20
  5. Step 5: Solve for x
    x = 536,438,491.20/33,016.56
  6. Step 6: Final answer
    x = 16,247.56

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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.