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Finding the Fourth Proportional to 41,614, 57,427.32 and 22,751.26

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Solution

The fourth proportional to 41,614, 57,427.32 and 22,751.26 is: 31,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,614 : 57,427.32 = 22,751.26 : x
  2. Step 2: Convert to fraction form
    41,614/57,427.32 = 22,751.26/x
  3. Step 3: Cross multiply
    41,614x = 57,427.32 × 22,751.26
  4. Step 4: Simplify right side
    41,614x = 1,306,543,888.42
  5. Step 5: Solve for x
    x = 1,306,543,888.42/41,614
  6. Step 6: Final answer
    x = 31,396.74

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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.