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Finding the Fourth Proportional to 41,205.20, 56,863.16 and 22,342.32

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Solution

The fourth proportional to 41,205.20, 56,863.16 and 22,342.32 is: 30,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,205.20 : 56,863.16 = 22,342.32 : x
  2. Step 2: Convert to fraction form
    41,205.20/56,863.16 = 22,342.32/x
  3. Step 3: Cross multiply
    41,205.20x = 56,863.16 × 22,342.32
  4. Step 4: Simplify right side
    41,205.20x = 1,270,454,805.22
  5. Step 5: Solve for x
    x = 1,270,454,805.22/41,205.20
  6. Step 6: Final answer
    x = 30,832.39

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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.