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Finding the Fourth Proportional to 41,614.42, 57,432.94 and 23,468.60

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Solution

The fourth proportional to 41,614.42, 57,432.94 and 23,468.60 is: 32,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,614.42 : 57,432.94 = 23,468.60 : x
  2. Step 2: Convert to fraction form
    41,614.42/57,432.94 = 23,468.60/x
  3. Step 3: Cross multiply
    41,614.42x = 57,432.94 × 23,468.60
  4. Step 4: Simplify right side
    41,614.42x = 1,347,870,695.68
  5. Step 5: Solve for x
    x = 1,347,870,695.68/41,614.42
  6. Step 6: Final answer
    x = 32,389.51

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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.