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Finding the Fourth Proportional to 31,785.99, 43,865.06 and 17,640.15

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Solution

The fourth proportional to 31,785.99, 43,865.06 and 17,640.15 is: 24,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785.99 : 43,865.06 = 17,640.15 : x
  2. Step 2: Convert to fraction form
    31,785.99/43,865.06 = 17,640.15/x
  3. Step 3: Cross multiply
    31,785.99x = 43,865.06 × 17,640.15
  4. Step 4: Simplify right side
    31,785.99x = 773,786,149.96
  5. Step 5: Solve for x
    x = 773,786,149.96/31,785.99
  6. Step 6: Final answer
    x = 24,343.62

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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.