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Finding the Fourth Proportional to 41,656.88, 57,486.49 and 22,794

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Solution

The fourth proportional to 41,656.88, 57,486.49 and 22,794 is: 31,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,656.88 : 57,486.49 = 22,794 : x
  2. Step 2: Convert to fraction form
    41,656.88/57,486.49 = 22,794/x
  3. Step 3: Cross multiply
    41,656.88x = 57,486.49 × 22,794
  4. Step 4: Simplify right side
    41,656.88x = 1,310,346,996.08
  5. Step 5: Solve for x
    x = 1,310,346,996.08/41,656.88
  6. Step 6: Final answer
    x = 31,455.72

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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.