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Finding the Fourth Proportional to 40,082.56, 55,318.74 and 23,315.56

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Solution

The fourth proportional to 40,082.56, 55,318.74 and 23,315.56 is: 32,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,082.56 : 55,318.74 = 23,315.56 : x
  2. Step 2: Convert to fraction form
    40,082.56/55,318.74 = 23,315.56/x
  3. Step 3: Cross multiply
    40,082.56x = 55,318.74 × 23,315.56
  4. Step 4: Simplify right side
    40,082.56x = 1,289,787,401.59
  5. Step 5: Solve for x
    x = 1,289,787,401.59/40,082.56
  6. Step 6: Final answer
    x = 32,178.27

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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.