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Finding the Fourth Proportional to 57,115.56, 78,819.57 and 31,965.06

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Solution

The fourth proportional to 57,115.56, 78,819.57 and 31,965.06 is: 44,111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,115.56 : 78,819.57 = 31,965.06 : x
  2. Step 2: Convert to fraction form
    57,115.56/78,819.57 = 31,965.06/x
  3. Step 3: Cross multiply
    57,115.56x = 78,819.57 × 31,965.06
  4. Step 4: Simplify right side
    57,115.56x = 2,519,472,284.22
  5. Step 5: Solve for x
    x = 2,519,472,284.22/57,115.56
  6. Step 6: Final answer
    x = 44,111.84

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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.