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Finding the Fourth Proportional to 32,010.96, 44,175.46 and 17,863.50

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Solution

The fourth proportional to 32,010.96, 44,175.46 and 17,863.50 is: 24,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,010.96 : 44,175.46 = 17,863.50 : x
  2. Step 2: Convert to fraction form
    32,010.96/44,175.46 = 17,863.50/x
  3. Step 3: Cross multiply
    32,010.96x = 44,175.46 × 17,863.50
  4. Step 4: Simplify right side
    32,010.96x = 789,128,329.71
  5. Step 5: Solve for x
    x = 789,128,329.71/32,010.96
  6. Step 6: Final answer
    x = 24,651.82

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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.