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Finding the Fourth Proportional to 41,684.96, 57,525.25 and 22,822.09

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Solution

The fourth proportional to 41,684.96, 57,525.25 and 22,822.09 is: 31,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,684.96 : 57,525.25 = 22,822.09 : x
  2. Step 2: Convert to fraction form
    41,684.96/57,525.25 = 22,822.09/x
  3. Step 3: Cross multiply
    41,684.96x = 57,525.25 × 22,822.09
  4. Step 4: Simplify right side
    41,684.96x = 1,312,846,031.04
  5. Step 5: Solve for x
    x = 1,312,846,031.04/41,684.96
  6. Step 6: Final answer
    x = 31,494.48

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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.