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Finding the Fourth Proportional to 41,338.38, 57,047.46 and 24,342.66

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Solution

The fourth proportional to 41,338.38, 57,047.46 and 24,342.66 is: 33,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,338.38 : 57,047.46 = 24,342.66 : x
  2. Step 2: Convert to fraction form
    41,338.38/57,047.46 = 24,342.66/x
  3. Step 3: Cross multiply
    41,338.38x = 57,047.46 × 24,342.66
  4. Step 4: Simplify right side
    41,338.38x = 1,388,686,922.64
  5. Step 5: Solve for x
    x = 1,388,686,922.64/41,338.38
  6. Step 6: Final answer
    x = 33,593.16

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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.