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Finding the Fourth Proportional to 65,891.59, 90,930.25 and 35,676.94

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Solution

The fourth proportional to 65,891.59, 90,930.25 and 35,676.94 is: 49,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,891.59 : 90,930.25 = 35,676.94 : x
  2. Step 2: Convert to fraction form
    65,891.59/90,930.25 = 35,676.94/x
  3. Step 3: Cross multiply
    65,891.59x = 90,930.25 × 35,676.94
  4. Step 4: Simplify right side
    65,891.59x = 3,244,113,073.44
  5. Step 5: Solve for x
    x = 3,244,113,073.44/65,891.59
  6. Step 6: Final answer
    x = 49,234.10

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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.