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Finding the Fourth Proportional to 65,183.16, 97,740.18 and 28,227

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Solution

The fourth proportional to 65,183.16, 97,740.18 and 28,227 is: 42,325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,183.16 : 97,740.18 = 28,227 : x
  2. Step 2: Convert to fraction form
    65,183.16/97,740.18 = 28,227/x
  3. Step 3: Cross multiply
    65,183.16x = 97,740.18 × 28,227
  4. Step 4: Simplify right side
    65,183.16x = 2,758,912,060.86
  5. Step 5: Solve for x
    x = 2,758,912,060.86/65,183.16
  6. Step 6: Final answer
    x = 42,325.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.