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Finding the Fourth Proportional to 65,213.50, 97,834.28 and 20,233.96

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Solution

The fourth proportional to 65,213.50, 97,834.28 and 20,233.96 is: 30,355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,213.50 : 97,834.28 = 20,233.96 : x
  2. Step 2: Convert to fraction form
    65,213.50/97,834.28 = 20,233.96/x
  3. Step 3: Cross multiply
    65,213.50x = 97,834.28 × 20,233.96
  4. Step 4: Simplify right side
    65,213.50x = 1,979,574,908.15
  5. Step 5: Solve for x
    x = 1,979,574,908.15/65,213.50
  6. Step 6: Final answer
    x = 30,355.29

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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.