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Finding the Fourth Proportional to 32,467.20, 48,700.80 and 11,683.20

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Solution

The fourth proportional to 32,467.20, 48,700.80 and 11,683.20 is: 17,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,467.20 : 48,700.80 = 11,683.20 : x
  2. Step 2: Convert to fraction form
    32,467.20/48,700.80 = 11,683.20/x
  3. Step 3: Cross multiply
    32,467.20x = 48,700.80 × 11,683.20
  4. Step 4: Simplify right side
    32,467.20x = 568,981,186.56
  5. Step 5: Solve for x
    x = 568,981,186.56/32,467.20
  6. Step 6: Final answer
    x = 17,524.80

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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.