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Finding the Fourth Proportional to 32,589.96, 44,978.94 and 20,654.43

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Solution

The fourth proportional to 32,589.96, 44,978.94 and 20,654.43 is: 28,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,589.96 : 44,978.94 = 20,654.43 : x
  2. Step 2: Convert to fraction form
    32,589.96/44,978.94 = 20,654.43/x
  3. Step 3: Cross multiply
    32,589.96x = 44,978.94 × 20,654.43
  4. Step 4: Simplify right side
    32,589.96x = 929,014,367.70
  5. Step 5: Solve for x
    x = 929,014,367.70/32,589.96
  6. Step 6: Final answer
    x = 28,506.15

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Why These Related Problems?

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