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Finding the Fourth Proportional to 32,389.44, 48,602.76 and 13,668

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Solution

The fourth proportional to 32,389.44, 48,602.76 and 13,668 is: 20,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,389.44 : 48,602.76 = 13,668 : x
  2. Step 2: Convert to fraction form
    32,389.44/48,602.76 = 13,668/x
  3. Step 3: Cross multiply
    32,389.44x = 48,602.76 × 13,668
  4. Step 4: Simplify right side
    32,389.44x = 664,302,523.68
  5. Step 5: Solve for x
    x = 664,302,523.68/32,389.44
  6. Step 6: Final answer
    x = 20,509.85

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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.