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Finding the Fourth Proportional to 38,141.82, 52,638.84 and 21,151.38

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Solution

The fourth proportional to 38,141.82, 52,638.84 and 21,151.38 is: 29,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,141.82 : 52,638.84 = 21,151.38 : x
  2. Step 2: Convert to fraction form
    38,141.82/52,638.84 = 21,151.38/x
  3. Step 3: Cross multiply
    38,141.82x = 52,638.84 × 21,151.38
  4. Step 4: Simplify right side
    38,141.82x = 1,113,384,107.60
  5. Step 5: Solve for x
    x = 1,113,384,107.60/38,141.82
  6. Step 6: Final answer
    x = 29,190.64

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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.