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Finding the Fourth Proportional to 32,146.69, 44,352.11 and 20,824.86

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Solution

The fourth proportional to 32,146.69, 44,352.11 and 20,824.86 is: 28,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,146.69 : 44,352.11 = 20,824.86 : x
  2. Step 2: Convert to fraction form
    32,146.69/44,352.11 = 20,824.86/x
  3. Step 3: Cross multiply
    32,146.69x = 44,352.11 × 20,824.86
  4. Step 4: Simplify right side
    32,146.69x = 923,626,481.45
  5. Step 5: Solve for x
    x = 923,626,481.45/32,146.69
  6. Step 6: Final answer
    x = 28,731.62

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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.