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Finding the Fourth Proportional to 30,568.26, 45,837.26 and 10,843.86

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Solution

The fourth proportional to 30,568.26, 45,837.26 and 10,843.86 is: 16,260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,568.26 : 45,837.26 = 10,843.86 : x
  2. Step 2: Convert to fraction form
    30,568.26/45,837.26 = 10,843.86/x
  3. Step 3: Cross multiply
    30,568.26x = 45,837.26 × 10,843.86
  4. Step 4: Simplify right side
    30,568.26x = 497,052,830.22
  5. Step 5: Solve for x
    x = 497,052,830.22/30,568.26
  6. Step 6: Final answer
    x = 16,260.42

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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.