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Finding the Fourth Proportional to 32,175.68, 44,403.64 and 18,028

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Solution

The fourth proportional to 32,175.68, 44,403.64 and 18,028 is: 24,879.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,175.68 : 44,403.64 = 18,028 : x
  2. Step 2: Convert to fraction form
    32,175.68/44,403.64 = 18,028/x
  3. Step 3: Cross multiply
    32,175.68x = 44,403.64 × 18,028
  4. Step 4: Simplify right side
    32,175.68x = 800,508,821.92
  5. Step 5: Solve for x
    x = 800,508,821.92/32,175.68
  6. Step 6: Final answer
    x = 24,879.31

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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.