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Finding the Fourth Proportional to 41,772.78, 57,649.49 and 23,867.40

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Solution

The fourth proportional to 41,772.78, 57,649.49 and 23,867.40 is: 32,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,772.78 : 57,649.49 = 23,867.40 : x
  2. Step 2: Convert to fraction form
    41,772.78/57,649.49 = 23,867.40/x
  3. Step 3: Cross multiply
    41,772.78x = 57,649.49 × 23,867.40
  4. Step 4: Simplify right side
    41,772.78x = 1,375,943,318.29
  5. Step 5: Solve for x
    x = 1,375,943,318.29/41,772.78
  6. Step 6: Final answer
    x = 32,938.75

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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.