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Finding the Fourth Proportional to 33,014.70, 49,509.90 and 10,828.80

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Solution

The fourth proportional to 33,014.70, 49,509.90 and 10,828.80 is: 16,239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,014.70 : 49,509.90 = 10,828.80 : x
  2. Step 2: Convert to fraction form
    33,014.70/49,509.90 = 10,828.80/x
  3. Step 3: Cross multiply
    33,014.70x = 49,509.90 × 10,828.80
  4. Step 4: Simplify right side
    33,014.70x = 536,132,805.12
  5. Step 5: Solve for x
    x = 536,132,805.12/33,014.70
  6. Step 6: Final answer
    x = 16,239.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.