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Finding the Fourth Proportional to 41,099.16, 56,715.84 and 23,194.92

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Solution

The fourth proportional to 41,099.16, 56,715.84 and 23,194.92 is: 32,008.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,099.16 : 56,715.84 = 23,194.92 : x
  2. Step 2: Convert to fraction form
    41,099.16/56,715.84 = 23,194.92/x
  3. Step 3: Cross multiply
    41,099.16x = 56,715.84 × 23,194.92
  4. Step 4: Simplify right side
    41,099.16x = 1,315,519,371.53
  5. Step 5: Solve for x
    x = 1,315,519,371.53/41,099.16
  6. Step 6: Final answer
    x = 32,008.42

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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.