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Finding the Fourth Proportional to 41,689, 57,530.82 and 22,826.26

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Solution

The fourth proportional to 41,689, 57,530.82 and 22,826.26 is: 31,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,689 : 57,530.82 = 22,826.26 : x
  2. Step 2: Convert to fraction form
    41,689/57,530.82 = 22,826.26/x
  3. Step 3: Cross multiply
    41,689x = 57,530.82 × 22,826.26
  4. Step 4: Simplify right side
    41,689x = 1,313,213,455.33
  5. Step 5: Solve for x
    x = 1,313,213,455.33/41,689
  6. Step 6: Final answer
    x = 31,500.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.