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Finding the Fourth Proportional to 32,010.84, 44,175.24 and 17,865

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Solution

The fourth proportional to 32,010.84, 44,175.24 and 17,865 is: 24,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,010.84 : 44,175.24 = 17,865 : x
  2. Step 2: Convert to fraction form
    32,010.84/44,175.24 = 17,865/x
  3. Step 3: Cross multiply
    32,010.84x = 44,175.24 × 17,865
  4. Step 4: Simplify right side
    32,010.84x = 789,190,662.60
  5. Step 5: Solve for x
    x = 789,190,662.60/32,010.84
  6. Step 6: Final answer
    x = 24,653.86

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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.