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Finding the Fourth Proportional to 41,376, 57,065.64 and 27,034.68

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Solution

The fourth proportional to 41,376, 57,065.64 and 27,034.68 is: 37,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,376 : 57,065.64 = 27,034.68 : x
  2. Step 2: Convert to fraction form
    41,376/57,065.64 = 27,034.68/x
  3. Step 3: Cross multiply
    41,376x = 57,065.64 × 27,034.68
  4. Step 4: Simplify right side
    41,376x = 1,542,751,316.40
  5. Step 5: Solve for x
    x = 1,542,751,316.40/41,376
  6. Step 6: Final answer
    x = 37,286.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.