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Finding the Fourth Proportional to 38,227.76, 52,676.52 and 29,275.28

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Solution

The fourth proportional to 38,227.76, 52,676.52 and 29,275.28 is: 40,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,227.76 : 52,676.52 = 29,275.28 : x
  2. Step 2: Convert to fraction form
    38,227.76/52,676.52 = 29,275.28/x
  3. Step 3: Cross multiply
    38,227.76x = 52,676.52 × 29,275.28
  4. Step 4: Simplify right side
    38,227.76x = 1,542,119,872.43
  5. Step 5: Solve for x
    x = 1,542,119,872.43/38,227.76
  6. Step 6: Final answer
    x = 40,340.31

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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.