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Finding the Fourth Proportional to 40,596.21, 56,022.75 and 23,829.21

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Solution

The fourth proportional to 40,596.21, 56,022.75 and 23,829.21 is: 32,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,596.21 : 56,022.75 = 23,829.21 : x
  2. Step 2: Convert to fraction form
    40,596.21/56,022.75 = 23,829.21/x
  3. Step 3: Cross multiply
    40,596.21x = 56,022.75 × 23,829.21
  4. Step 4: Simplify right side
    40,596.21x = 1,334,977,874.53
  5. Step 5: Solve for x
    x = 1,334,977,874.53/40,596.21
  6. Step 6: Final answer
    x = 32,884.30

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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.