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Finding the Fourth Proportional to 65,099.30, 89,846.60 and 41,228.19

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Solution

The fourth proportional to 65,099.30, 89,846.60 and 41,228.19 is: 56,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,099.30 : 89,846.60 = 41,228.19 : x
  2. Step 2: Convert to fraction form
    65,099.30/89,846.60 = 41,228.19/x
  3. Step 3: Cross multiply
    65,099.30x = 89,846.60 × 41,228.19
  4. Step 4: Simplify right side
    65,099.30x = 3,704,212,489.51
  5. Step 5: Solve for x
    x = 3,704,212,489.51/65,099.30
  6. Step 6: Final answer
    x = 56,900.96

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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.