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Finding the Fourth Proportional to 65,735.89, 90,524.77 and 57,118.20

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Solution

The fourth proportional to 65,735.89, 90,524.77 and 57,118.20 is: 78,657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,735.89 : 90,524.77 = 57,118.20 : x
  2. Step 2: Convert to fraction form
    65,735.89/90,524.77 = 57,118.20/x
  3. Step 3: Cross multiply
    65,735.89x = 90,524.77 × 57,118.20
  4. Step 4: Simplify right side
    65,735.89x = 5,170,611,917.81
  5. Step 5: Solve for x
    x = 5,170,611,917.81/65,735.89
  6. Step 6: Final answer
    x = 78,657.37

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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.