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Finding the Fourth Proportional to 32,198.96, 44,434.68 and 17,859.80

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Solution

The fourth proportional to 32,198.96, 44,434.68 and 17,859.80 is: 24,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198.96 : 44,434.68 = 17,859.80 : x
  2. Step 2: Convert to fraction form
    32,198.96/44,434.68 = 17,859.80/x
  3. Step 3: Cross multiply
    32,198.96x = 44,434.68 × 17,859.80
  4. Step 4: Simplify right side
    32,198.96x = 793,594,497.86
  5. Step 5: Solve for x
    x = 793,594,497.86/32,198.96
  6. Step 6: Final answer
    x = 24,646.59

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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.