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Finding the Fourth Proportional to 41,411.44, 57,148.14 and 23,506.48

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Solution

The fourth proportional to 41,411.44, 57,148.14 and 23,506.48 is: 32,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,411.44 : 57,148.14 = 23,506.48 : x
  2. Step 2: Convert to fraction form
    41,411.44/57,148.14 = 23,506.48/x
  3. Step 3: Cross multiply
    41,411.44x = 57,148.14 × 23,506.48
  4. Step 4: Simplify right side
    41,411.44x = 1,343,351,609.95
  5. Step 5: Solve for x
    x = 1,343,351,609.95/41,411.44
  6. Step 6: Final answer
    x = 32,439.14

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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.