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Finding the Fourth Proportional to 40,314.72, 55,614.96 and 34,716

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Solution

The fourth proportional to 40,314.72, 55,614.96 and 34,716 is: 47,891.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,314.72 : 55,614.96 = 34,716 : x
  2. Step 2: Convert to fraction form
    40,314.72/55,614.96 = 34,716/x
  3. Step 3: Cross multiply
    40,314.72x = 55,614.96 × 34,716
  4. Step 4: Simplify right side
    40,314.72x = 1,930,728,951.36
  5. Step 5: Solve for x
    x = 1,930,728,951.36/40,314.72
  6. Step 6: Final answer
    x = 47,891.41

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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.