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Finding the Fourth Proportional to 57,225.72, 78,965.16 and 31,731.44

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Solution

The fourth proportional to 57,225.72, 78,965.16 and 31,731.44 is: 43,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,225.72 : 78,965.16 = 31,731.44 : x
  2. Step 2: Convert to fraction form
    57,225.72/78,965.16 = 31,731.44/x
  3. Step 3: Cross multiply
    57,225.72x = 78,965.16 × 31,731.44
  4. Step 4: Simplify right side
    57,225.72x = 2,505,678,236.63
  5. Step 5: Solve for x
    x = 2,505,678,236.63/57,225.72
  6. Step 6: Final answer
    x = 43,785.88

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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.