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Finding the Fourth Proportional to 38,226.76, 52,675.14 and 29,274.28

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Solution

The fourth proportional to 38,226.76, 52,675.14 and 29,274.28 is: 40,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,226.76 : 52,675.14 = 29,274.28 : x
  2. Step 2: Convert to fraction form
    38,226.76/52,675.14 = 29,274.28/x
  3. Step 3: Cross multiply
    38,226.76x = 52,675.14 × 29,274.28
  4. Step 4: Simplify right side
    38,226.76x = 1,542,026,797.40
  5. Step 5: Solve for x
    x = 1,542,026,797.40/38,226.76
  6. Step 6: Final answer
    x = 40,338.94

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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.