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Finding the Fourth Proportional to 36,293.70, 54,449.82 and 17,582.70

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Solution

The fourth proportional to 36,293.70, 54,449.82 and 17,582.70 is: 26,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,293.70 : 54,449.82 = 17,582.70 : x
  2. Step 2: Convert to fraction form
    36,293.70/54,449.82 = 17,582.70/x
  3. Step 3: Cross multiply
    36,293.70x = 54,449.82 × 17,582.70
  4. Step 4: Simplify right side
    36,293.70x = 957,374,850.11
  5. Step 5: Solve for x
    x = 957,374,850.11/36,293.70
  6. Step 6: Final answer
    x = 26,378.54

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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.