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Finding the Fourth Proportional to 65,200.64, 90,032.04 and 41,369.60

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Solution

The fourth proportional to 65,200.64, 90,032.04 and 41,369.60 is: 57,125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.64 : 90,032.04 = 41,369.60 : x
  2. Step 2: Convert to fraction form
    65,200.64/90,032.04 = 41,369.60/x
  3. Step 3: Cross multiply
    65,200.64x = 90,032.04 × 41,369.60
  4. Step 4: Simplify right side
    65,200.64x = 3,724,589,481.98
  5. Step 5: Solve for x
    x = 3,724,589,481.98/65,200.64
  6. Step 6: Final answer
    x = 57,125.04

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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.