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Finding the Fourth Proportional to 50,902.96, 76,280.76 and 35,091.76

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Solution

The fourth proportional to 50,902.96, 76,280.76 and 35,091.76 is: 52,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,902.96 : 76,280.76 = 35,091.76 : x
  2. Step 2: Convert to fraction form
    50,902.96/76,280.76 = 35,091.76/x
  3. Step 3: Cross multiply
    50,902.96x = 76,280.76 × 35,091.76
  4. Step 4: Simplify right side
    50,902.96x = 2,676,826,122.54
  5. Step 5: Solve for x
    x = 2,676,826,122.54/50,902.96
  6. Step 6: Final answer
    x = 52,586.85

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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.