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Finding the Fourth Proportional to 31,435.70, 43,380.40 and 17,288.54

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Solution

The fourth proportional to 31,435.70, 43,380.40 and 17,288.54 is: 23,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,435.70 : 43,380.40 = 17,288.54 : x
  2. Step 2: Convert to fraction form
    31,435.70/43,380.40 = 17,288.54/x
  3. Step 3: Cross multiply
    31,435.70x = 43,380.40 × 17,288.54
  4. Step 4: Simplify right side
    31,435.70x = 749,983,845.85
  5. Step 5: Solve for x
    x = 749,983,845.85/31,435.70
  6. Step 6: Final answer
    x = 23,857.71

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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.