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Finding the Fourth Proportional to 41,564.04, 57,348.96 and 23,655

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Solution

The fourth proportional to 41,564.04, 57,348.96 and 23,655 is: 32,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,564.04 : 57,348.96 = 23,655 : x
  2. Step 2: Convert to fraction form
    41,564.04/57,348.96 = 23,655/x
  3. Step 3: Cross multiply
    41,564.04x = 57,348.96 × 23,655
  4. Step 4: Simplify right side
    41,564.04x = 1,356,589,648.80
  5. Step 5: Solve for x
    x = 1,356,589,648.80/41,564.04
  6. Step 6: Final answer
    x = 32,638.54

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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.