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Finding the Fourth Proportional to 31,774.34, 43,839.68 and 25,039.06

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Solution

The fourth proportional to 31,774.34, 43,839.68 and 25,039.06 is: 34,546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.34 : 43,839.68 = 25,039.06 : x
  2. Step 2: Convert to fraction form
    31,774.34/43,839.68 = 25,039.06/x
  3. Step 3: Cross multiply
    31,774.34x = 43,839.68 × 25,039.06
  4. Step 4: Simplify right side
    31,774.34x = 1,097,704,377.90
  5. Step 5: Solve for x
    x = 1,097,704,377.90/31,774.34
  6. Step 6: Final answer
    x = 34,546.88

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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.