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Finding the Fourth Proportional to 41,915.76, 57,867.72 and 27,787.80

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Solution

The fourth proportional to 41,915.76, 57,867.72 and 27,787.80 is: 38,363.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,915.76 : 57,867.72 = 27,787.80 : x
  2. Step 2: Convert to fraction form
    41,915.76/57,867.72 = 27,787.80/x
  3. Step 3: Cross multiply
    41,915.76x = 57,867.72 × 27,787.80
  4. Step 4: Simplify right side
    41,915.76x = 1,608,016,629.82
  5. Step 5: Solve for x
    x = 1,608,016,629.82/41,915.76
  6. Step 6: Final answer
    x = 38,363.06

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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.