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Finding the Fourth Proportional to 65,338.80, 90,174.24 and 38,489.76

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Solution

The fourth proportional to 65,338.80, 90,174.24 and 38,489.76 is: 53,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,338.80 : 90,174.24 = 38,489.76 : x
  2. Step 2: Convert to fraction form
    65,338.80/90,174.24 = 38,489.76/x
  3. Step 3: Cross multiply
    65,338.80x = 90,174.24 × 38,489.76
  4. Step 4: Simplify right side
    65,338.80x = 3,470,784,855.78
  5. Step 5: Solve for x
    x = 3,470,784,855.78/65,338.80
  6. Step 6: Final answer
    x = 53,119.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.