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Finding the Fourth Proportional to 41,516.84, 57,294.96 and 23,615

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Solution

The fourth proportional to 41,516.84, 57,294.96 and 23,615 is: 32,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,516.84 : 57,294.96 = 23,615 : x
  2. Step 2: Convert to fraction form
    41,516.84/57,294.96 = 23,615/x
  3. Step 3: Cross multiply
    41,516.84x = 57,294.96 × 23,615
  4. Step 4: Simplify right side
    41,516.84x = 1,353,020,480.40
  5. Step 5: Solve for x
    x = 1,353,020,480.40/41,516.84
  6. Step 6: Final answer
    x = 32,589.68

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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.