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Finding the Fourth Proportional to 41,428.50, 57,178.74 and 24,431.70

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Solution

The fourth proportional to 41,428.50, 57,178.74 and 24,431.70 is: 33,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,428.50 : 57,178.74 = 24,431.70 : x
  2. Step 2: Convert to fraction form
    41,428.50/57,178.74 = 24,431.70/x
  3. Step 3: Cross multiply
    41,428.50x = 57,178.74 × 24,431.70
  4. Step 4: Simplify right side
    41,428.50x = 1,396,973,822.06
  5. Step 5: Solve for x
    x = 1,396,973,822.06/41,428.50
  6. Step 6: Final answer
    x = 33,720.12

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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.