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Finding the Fourth Proportional to 32,843.82, 49,265.73 and 9,150.41

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Solution

The fourth proportional to 32,843.82, 49,265.73 and 9,150.41 is: 13,725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843.82 : 49,265.73 = 9,150.41 : x
  2. Step 2: Convert to fraction form
    32,843.82/49,265.73 = 9,150.41/x
  3. Step 3: Cross multiply
    32,843.82x = 49,265.73 × 9,150.41
  4. Step 4: Simplify right side
    32,843.82x = 450,801,628.45
  5. Step 5: Solve for x
    x = 450,801,628.45/32,843.82
  6. Step 6: Final answer
    x = 13,725.62

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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.