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Finding the Fourth Proportional to 32,387.90, 48,588.42 and 13,668

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Solution

The fourth proportional to 32,387.90, 48,588.42 and 13,668 is: 20,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,387.90 : 48,588.42 = 13,668 : x
  2. Step 2: Convert to fraction form
    32,387.90/48,588.42 = 13,668/x
  3. Step 3: Cross multiply
    32,387.90x = 48,588.42 × 13,668
  4. Step 4: Simplify right side
    32,387.90x = 664,106,524.56
  5. Step 5: Solve for x
    x = 664,106,524.56/32,387.90
  6. Step 6: Final answer
    x = 20,504.77

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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.