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Finding the Fourth Proportional to 65,601, 98,423.22 and 32,343.96

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Solution

The fourth proportional to 65,601, 98,423.22 and 32,343.96 is: 48,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,601 : 98,423.22 = 32,343.96 : x
  2. Step 2: Convert to fraction form
    65,601/98,423.22 = 32,343.96/x
  3. Step 3: Cross multiply
    65,601x = 98,423.22 × 32,343.96
  4. Step 4: Simplify right side
    65,601x = 3,183,396,690.75
  5. Step 5: Solve for x
    x = 3,183,396,690.75/65,601
  6. Step 6: Final answer
    x = 48,526.65

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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.