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Finding the Fourth Proportional to 41,381.42, 57,097.70 and 27,062.24

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Solution

The fourth proportional to 41,381.42, 57,097.70 and 27,062.24 is: 37,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,381.42 : 57,097.70 = 27,062.24 : x
  2. Step 2: Convert to fraction form
    41,381.42/57,097.70 = 27,062.24/x
  3. Step 3: Cross multiply
    41,381.42x = 57,097.70 × 27,062.24
  4. Step 4: Simplify right side
    41,381.42x = 1,545,191,240.05
  5. Step 5: Solve for x
    x = 1,545,191,240.05/41,381.42
  6. Step 6: Final answer
    x = 37,340.22

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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.