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Finding the Fourth Proportional to 41,166, 56,817.32 and 23,261.22

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Solution

The fourth proportional to 41,166, 56,817.32 and 23,261.22 is: 32,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,166 : 56,817.32 = 23,261.22 : x
  2. Step 2: Convert to fraction form
    41,166/56,817.32 = 23,261.22/x
  3. Step 3: Cross multiply
    41,166x = 56,817.32 × 23,261.22
  4. Step 4: Simplify right side
    41,166x = 1,321,640,064.02
  5. Step 5: Solve for x
    x = 1,321,640,064.02/41,166
  6. Step 6: Final answer
    x = 32,105.14

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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.