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Finding the Fourth Proportional to 33,242.80, 49,847.10 and 9,866.20

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Solution

The fourth proportional to 33,242.80, 49,847.10 and 9,866.20 is: 14,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,242.80 : 49,847.10 = 9,866.20 : x
  2. Step 2: Convert to fraction form
    33,242.80/49,847.10 = 9,866.20/x
  3. Step 3: Cross multiply
    33,242.80x = 49,847.10 × 9,866.20
  4. Step 4: Simplify right side
    33,242.80x = 491,801,458.02
  5. Step 5: Solve for x
    x = 491,801,458.02/33,242.80
  6. Step 6: Final answer
    x = 14,794.22

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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.