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Finding the Fourth Proportional to 57,185.44, 78,914 and 31,690.72

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Solution

The fourth proportional to 57,185.44, 78,914 and 31,690.72 is: 43,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,185.44 : 78,914 = 31,690.72 : x
  2. Step 2: Convert to fraction form
    57,185.44/78,914 = 31,690.72/x
  3. Step 3: Cross multiply
    57,185.44x = 78,914 × 31,690.72
  4. Step 4: Simplify right side
    57,185.44x = 2,500,841,478.08
  5. Step 5: Solve for x
    x = 2,500,841,478.08/57,185.44
  6. Step 6: Final answer
    x = 43,732.14

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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.