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Finding the Fourth Proportional to 41,832.64, 57,729.24 and 22,969.76

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Solution

The fourth proportional to 41,832.64, 57,729.24 and 22,969.76 is: 31,698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,832.64 : 57,729.24 = 22,969.76 : x
  2. Step 2: Convert to fraction form
    41,832.64/57,729.24 = 22,969.76/x
  3. Step 3: Cross multiply
    41,832.64x = 57,729.24 × 22,969.76
  4. Step 4: Simplify right side
    41,832.64x = 1,326,026,787.78
  5. Step 5: Solve for x
    x = 1,326,026,787.78/41,832.64
  6. Step 6: Final answer
    x = 31,698.38

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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.