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Finding the Fourth Proportional to 41,787.78, 57,668.34 and 22,926.12

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Solution

The fourth proportional to 41,787.78, 57,668.34 and 22,926.12 is: 31,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,787.78 : 57,668.34 = 22,926.12 : x
  2. Step 2: Convert to fraction form
    41,787.78/57,668.34 = 22,926.12/x
  3. Step 3: Cross multiply
    41,787.78x = 57,668.34 × 22,926.12
  4. Step 4: Simplify right side
    41,787.78x = 1,322,111,283.04
  5. Step 5: Solve for x
    x = 1,322,111,283.04/41,787.78
  6. Step 6: Final answer
    x = 31,638.71

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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.