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Finding the Fourth Proportional to 32,847.12, 49,270.56 and 8,223.12

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Solution

The fourth proportional to 32,847.12, 49,270.56 and 8,223.12 is: 12,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,847.12 : 49,270.56 = 8,223.12 : x
  2. Step 2: Convert to fraction form
    32,847.12/49,270.56 = 8,223.12/x
  3. Step 3: Cross multiply
    32,847.12x = 49,270.56 × 8,223.12
  4. Step 4: Simplify right side
    32,847.12x = 405,157,727.35
  5. Step 5: Solve for x
    x = 405,157,727.35/32,847.12
  6. Step 6: Final answer
    x = 12,334.65

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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.