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Finding the Fourth Proportional to 70,449.62, 105,676.25 and 17,863.20

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Solution

The fourth proportional to 70,449.62, 105,676.25 and 17,863.20 is: 26,795.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,449.62 : 105,676.25 = 17,863.20 : x
  2. Step 2: Convert to fraction form
    70,449.62/105,676.25 = 17,863.20/x
  3. Step 3: Cross multiply
    70,449.62x = 105,676.25 × 17,863.20
  4. Step 4: Simplify right side
    70,449.62x = 1,887,715,899.68
  5. Step 5: Solve for x
    x = 1,887,715,899.68/70,449.62
  6. Step 6: Final answer
    x = 26,795.26

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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.