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Finding the Fourth Proportional to 33,222.80, 49,817.10 and 9,846.20

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Solution

The fourth proportional to 33,222.80, 49,817.10 and 9,846.20 is: 14,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,222.80 : 49,817.10 = 9,846.20 : x
  2. Step 2: Convert to fraction form
    33,222.80/49,817.10 = 9,846.20/x
  3. Step 3: Cross multiply
    33,222.80x = 49,817.10 × 9,846.20
  4. Step 4: Simplify right side
    33,222.80x = 490,509,130.02
  5. Step 5: Solve for x
    x = 490,509,130.02/33,222.80
  6. Step 6: Final answer
    x = 14,764.23

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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.