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Finding the Fourth Proportional to 85,817.38, 128,636.70 and 28,849

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Solution

The fourth proportional to 85,817.38, 128,636.70 and 28,849 is: 43,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,817.38 : 128,636.70 = 28,849 : x
  2. Step 2: Convert to fraction form
    85,817.38/128,636.70 = 28,849/x
  3. Step 3: Cross multiply
    85,817.38x = 128,636.70 × 28,849
  4. Step 4: Simplify right side
    85,817.38x = 3,711,040,158.30
  5. Step 5: Solve for x
    x = 3,711,040,158.30/85,817.38
  6. Step 6: Final answer
    x = 43,243.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.