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Finding the Fourth Proportional to 32,145.69, 44,350.73 and 20,823.86

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Solution

The fourth proportional to 32,145.69, 44,350.73 and 20,823.86 is: 28,730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.69 : 44,350.73 = 20,823.86 : x
  2. Step 2: Convert to fraction form
    32,145.69/44,350.73 = 20,823.86/x
  3. Step 3: Cross multiply
    32,145.69x = 44,350.73 × 20,823.86
  4. Step 4: Simplify right side
    32,145.69x = 923,553,392.42
  5. Step 5: Solve for x
    x = 923,553,392.42/32,145.69
  6. Step 6: Final answer
    x = 28,730.24

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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.