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Finding the Fourth Proportional to 31,960.14, 44,102.91 and 17,620.08

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Solution

The fourth proportional to 31,960.14, 44,102.91 and 17,620.08 is: 24,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,960.14 : 44,102.91 = 17,620.08 : x
  2. Step 2: Convert to fraction form
    31,960.14/44,102.91 = 17,620.08/x
  3. Step 3: Cross multiply
    31,960.14x = 44,102.91 × 17,620.08
  4. Step 4: Simplify right side
    31,960.14x = 777,096,951.20
  5. Step 5: Solve for x
    x = 777,096,951.20/31,960.14
  6. Step 6: Final answer
    x = 24,314.57

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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.