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Finding the Fourth Proportional to 91,096, 136,644 and 28,766.50

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Solution

The fourth proportional to 91,096, 136,644 and 28,766.50 is: 43,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,096 : 136,644 = 28,766.50 : x
  2. Step 2: Convert to fraction form
    91,096/136,644 = 28,766.50/x
  3. Step 3: Cross multiply
    91,096x = 136,644 × 28,766.50
  4. Step 4: Simplify right side
    91,096x = 3,930,769,626
  5. Step 5: Solve for x
    x = 3,930,769,626/91,096
  6. Step 6: Final answer
    x = 43,149.75

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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.