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Finding the Fourth Proportional to 65,174.10, 97,834.05 and 50,448.30

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Solution

The fourth proportional to 65,174.10, 97,834.05 and 50,448.30 is: 75,728.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,174.10 : 97,834.05 = 50,448.30 : x
  2. Step 2: Convert to fraction form
    65,174.10/97,834.05 = 50,448.30/x
  3. Step 3: Cross multiply
    65,174.10x = 97,834.05 × 50,448.30
  4. Step 4: Simplify right side
    65,174.10x = 4,935,561,504.62
  5. Step 5: Solve for x
    x = 4,935,561,504.62/65,174.10
  6. Step 6: Final answer
    x = 75,728.88

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Why These Related Problems?

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