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Finding the Fourth Proportional to 31,420.45, 43,342.91 and 19,914.31

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Solution

The fourth proportional to 31,420.45, 43,342.91 and 19,914.31 is: 27,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420.45 : 43,342.91 = 19,914.31 : x
  2. Step 2: Convert to fraction form
    31,420.45/43,342.91 = 19,914.31/x
  3. Step 3: Cross multiply
    31,420.45x = 43,342.91 × 19,914.31
  4. Step 4: Simplify right side
    31,420.45x = 863,144,146.04
  5. Step 5: Solve for x
    x = 863,144,146.04/31,420.45
  6. Step 6: Final answer
    x = 27,470.78

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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.