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Finding the Fourth Proportional to 32,175.85, 44,404.33 and 17,837.21

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Solution

The fourth proportional to 32,175.85, 44,404.33 and 17,837.21 is: 24,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,175.85 : 44,404.33 = 17,837.21 : x
  2. Step 2: Convert to fraction form
    32,175.85/44,404.33 = 17,837.21/x
  3. Step 3: Cross multiply
    32,175.85x = 44,404.33 × 17,837.21
  4. Step 4: Simplify right side
    32,175.85x = 792,049,359.12
  5. Step 5: Solve for x
    x = 792,049,359.12/32,175.85
  6. Step 6: Final answer
    x = 24,616.27

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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.