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Finding the Fourth Proportional to 65,484.38, 90,379.31 and 38,633.49

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Solution

The fourth proportional to 65,484.38, 90,379.31 and 38,633.49 is: 53,320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,484.38 : 90,379.31 = 38,633.49 : x
  2. Step 2: Convert to fraction form
    65,484.38/90,379.31 = 38,633.49/x
  3. Step 3: Cross multiply
    65,484.38x = 90,379.31 × 38,633.49
  4. Step 4: Simplify right side
    65,484.38x = 3,491,667,813.78
  5. Step 5: Solve for x
    x = 3,491,667,813.78/65,484.38
  6. Step 6: Final answer
    x = 53,320.62

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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.