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Finding the Fourth Proportional to 33,006.70, 49,509.60 and 10,820.80

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Solution

The fourth proportional to 33,006.70, 49,509.60 and 10,820.80 is: 16,231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,006.70 : 49,509.60 = 10,820.80 : x
  2. Step 2: Convert to fraction form
    33,006.70/49,509.60 = 10,820.80/x
  3. Step 3: Cross multiply
    33,006.70x = 49,509.60 × 10,820.80
  4. Step 4: Simplify right side
    33,006.70x = 535,733,479.68
  5. Step 5: Solve for x
    x = 535,733,479.68/33,006.70
  6. Step 6: Final answer
    x = 16,231.05

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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.