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Finding the Fourth Proportional to 57,118.30, 78,824.82 and 31,967.80

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Solution

The fourth proportional to 57,118.30, 78,824.82 and 31,967.80 is: 44,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,118.30 : 78,824.82 = 31,967.80 : x
  2. Step 2: Convert to fraction form
    57,118.30/78,824.82 = 31,967.80/x
  3. Step 3: Cross multiply
    57,118.30x = 78,824.82 × 31,967.80
  4. Step 4: Simplify right side
    57,118.30x = 2,519,856,080.80
  5. Step 5: Solve for x
    x = 2,519,856,080.80/57,118.30
  6. Step 6: Final answer
    x = 44,116.44

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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.