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Finding the Fourth Proportional to 65,237.34, 97,855.49 and 38,766.78

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Solution

The fourth proportional to 65,237.34, 97,855.49 and 38,766.78 is: 58,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,237.34 : 97,855.49 = 38,766.78 : x
  2. Step 2: Convert to fraction form
    65,237.34/97,855.49 = 38,766.78/x
  3. Step 3: Cross multiply
    65,237.34x = 97,855.49 × 38,766.78
  4. Step 4: Simplify right side
    65,237.34x = 3,793,542,349.54
  5. Step 5: Solve for x
    x = 3,793,542,349.54/65,237.34
  6. Step 6: Final answer
    x = 58,149.86

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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.