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Finding the Fourth Proportional to 32,847.52, 49,271.26 and 8,223.52

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Solution

The fourth proportional to 32,847.52, 49,271.26 and 8,223.52 is: 12,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,847.52 : 49,271.26 = 8,223.52 : x
  2. Step 2: Convert to fraction form
    32,847.52/49,271.26 = 8,223.52/x
  3. Step 3: Cross multiply
    32,847.52x = 49,271.26 × 8,223.52
  4. Step 4: Simplify right side
    32,847.52x = 405,183,192.04
  5. Step 5: Solve for x
    x = 405,183,192.04/32,847.52
  6. Step 6: Final answer
    x = 12,335.27

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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.