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Finding the Fourth Proportional to 65,926.98, 98,757.99 and 30,338.64

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Solution

The fourth proportional to 65,926.98, 98,757.99 and 30,338.64 is: 45,446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,926.98 : 98,757.99 = 30,338.64 : x
  2. Step 2: Convert to fraction form
    65,926.98/98,757.99 = 30,338.64/x
  3. Step 3: Cross multiply
    65,926.98x = 98,757.99 × 30,338.64
  4. Step 4: Simplify right side
    65,926.98x = 2,996,183,105.73
  5. Step 5: Solve for x
    x = 2,996,183,105.73/65,926.98
  6. Step 6: Final answer
    x = 45,446.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.