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Finding the Fourth Proportional to 72,920.64, 100,627.68 and 41,096

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Solution

The fourth proportional to 72,920.64, 100,627.68 and 41,096 is: 56,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,920.64 : 100,627.68 = 41,096 : x
  2. Step 2: Convert to fraction form
    72,920.64/100,627.68 = 41,096/x
  3. Step 3: Cross multiply
    72,920.64x = 100,627.68 × 41,096
  4. Step 4: Simplify right side
    72,920.64x = 4,135,395,137.28
  5. Step 5: Solve for x
    x = 4,135,395,137.28/72,920.64
  6. Step 6: Final answer
    x = 56,710.90

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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.