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Finding the Fourth Proportional to 89,865.92, 134,838.12 and 34,500.80

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Solution

The fourth proportional to 89,865.92, 134,838.12 and 34,500.80 is: 51,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,865.92 : 134,838.12 = 34,500.80 : x
  2. Step 2: Convert to fraction form
    89,865.92/134,838.12 = 34,500.80/x
  3. Step 3: Cross multiply
    89,865.92x = 134,838.12 × 34,500.80
  4. Step 4: Simplify right side
    89,865.92x = 4,652,023,010.50
  5. Step 5: Solve for x
    x = 4,652,023,010.50/89,865.92
  6. Step 6: Final answer
    x = 51,766.26

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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.