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Finding the Fourth Proportional to 32,408.16, 44,728.92 and 20,467.68

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Solution

The fourth proportional to 32,408.16, 44,728.92 and 20,467.68 is: 28,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,408.16 : 44,728.92 = 20,467.68 : x
  2. Step 2: Convert to fraction form
    32,408.16/44,728.92 = 20,467.68/x
  3. Step 3: Cross multiply
    32,408.16x = 44,728.92 × 20,467.68
  4. Step 4: Simplify right side
    32,408.16x = 915,497,221.31
  5. Step 5: Solve for x
    x = 915,497,221.31/32,408.16
  6. Step 6: Final answer
    x = 28,248.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.