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Finding the Fourth Proportional to 32,197.56, 48,305 and 13,467.72

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Solution

The fourth proportional to 32,197.56, 48,305 and 13,467.72 is: 20,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.56 : 48,305 = 13,467.72 : x
  2. Step 2: Convert to fraction form
    32,197.56/48,305 = 13,467.72/x
  3. Step 3: Cross multiply
    32,197.56x = 48,305 × 13,467.72
  4. Step 4: Simplify right side
    32,197.56x = 650,558,214.60
  5. Step 5: Solve for x
    x = 650,558,214.60/32,197.56
  6. Step 6: Final answer
    x = 20,205.20

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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.