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Finding the Fourth Proportional to 65,174.67, 97,673.85 and 29,591.91

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Solution

The fourth proportional to 65,174.67, 97,673.85 and 29,591.91 is: 44,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,174.67 : 97,673.85 = 29,591.91 : x
  2. Step 2: Convert to fraction form
    65,174.67/97,673.85 = 29,591.91/x
  3. Step 3: Cross multiply
    65,174.67x = 97,673.85 × 29,591.91
  4. Step 4: Simplify right side
    65,174.67x = 2,890,355,778.55
  5. Step 5: Solve for x
    x = 2,890,355,778.55/65,174.67
  6. Step 6: Final answer
    x = 44,347.84

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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.