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Finding the Fourth Proportional to 32,181.86, 44,400.25 and 20,866.18

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Solution

The fourth proportional to 32,181.86, 44,400.25 and 20,866.18 is: 28,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,181.86 : 44,400.25 = 20,866.18 : x
  2. Step 2: Convert to fraction form
    32,181.86/44,400.25 = 20,866.18/x
  3. Step 3: Cross multiply
    32,181.86x = 44,400.25 × 20,866.18
  4. Step 4: Simplify right side
    32,181.86x = 926,463,608.55
  5. Step 5: Solve for x
    x = 926,463,608.55/32,181.86
  6. Step 6: Final answer
    x = 28,788.38

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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.