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Finding the Fourth Proportional to 41,659.88, 57,490.64 and 22,797

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Solution

The fourth proportional to 41,659.88, 57,490.64 and 22,797 is: 31,459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,659.88 : 57,490.64 = 22,797 : x
  2. Step 2: Convert to fraction form
    41,659.88/57,490.64 = 22,797/x
  3. Step 3: Cross multiply
    41,659.88x = 57,490.64 × 22,797
  4. Step 4: Simplify right side
    41,659.88x = 1,310,614,006.10
  5. Step 5: Solve for x
    x = 1,310,614,006.10/41,659.88
  6. Step 6: Final answer
    x = 31,459.86

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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.