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Finding the Fourth Proportional to 41,113.76, 56,732.90 and 23,205.32

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Solution

The fourth proportional to 41,113.76, 56,732.90 and 23,205.32 is: 32,021.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,113.76 : 56,732.90 = 23,205.32 : x
  2. Step 2: Convert to fraction form
    41,113.76/56,732.90 = 23,205.32/x
  3. Step 3: Cross multiply
    41,113.76x = 56,732.90 × 23,205.32
  4. Step 4: Simplify right side
    41,113.76x = 1,316,505,099.03
  5. Step 5: Solve for x
    x = 1,316,505,099.03/41,113.76
  6. Step 6: Final answer
    x = 32,021.03

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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.