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Finding the Fourth Proportional to 31,178.88, 43,014.56 and 19,845.44

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Solution

The fourth proportional to 31,178.88, 43,014.56 and 19,845.44 is: 27,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.88 : 43,014.56 = 19,845.44 : x
  2. Step 2: Convert to fraction form
    31,178.88/43,014.56 = 19,845.44/x
  3. Step 3: Cross multiply
    31,178.88x = 43,014.56 × 19,845.44
  4. Step 4: Simplify right side
    31,178.88x = 853,642,869.61
  5. Step 5: Solve for x
    x = 853,642,869.61/31,178.88
  6. Step 6: Final answer
    x = 27,378.88

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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.