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Finding the Fourth Proportional to 32,016.46, 44,183.19 and 17,870.38

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Solution

The fourth proportional to 32,016.46, 44,183.19 and 17,870.38 is: 24,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016.46 : 44,183.19 = 17,870.38 : x
  2. Step 2: Convert to fraction form
    32,016.46/44,183.19 = 17,870.38/x
  3. Step 3: Cross multiply
    32,016.46x = 44,183.19 × 17,870.38
  4. Step 4: Simplify right side
    32,016.46x = 789,570,394.91
  5. Step 5: Solve for x
    x = 789,570,394.91/32,016.46
  6. Step 6: Final answer
    x = 24,661.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.