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Finding the Fourth Proportional to 41,517.48, 57,294 and 22,654.58

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Solution

The fourth proportional to 41,517.48, 57,294 and 22,654.58 is: 31,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,517.48 : 57,294 = 22,654.58 : x
  2. Step 2: Convert to fraction form
    41,517.48/57,294 = 22,654.58/x
  3. Step 3: Cross multiply
    41,517.48x = 57,294 × 22,654.58
  4. Step 4: Simplify right side
    41,517.48x = 1,297,971,506.52
  5. Step 5: Solve for x
    x = 1,297,971,506.52/41,517.48
  6. Step 6: Final answer
    x = 31,263.25

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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.