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Finding the Fourth Proportional to 57,769.50, 86,641.80 and 33,737.76

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Solution

The fourth proportional to 57,769.50, 86,641.80 and 33,737.76 is: 50,599.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,769.50 : 86,641.80 = 33,737.76 : x
  2. Step 2: Convert to fraction form
    57,769.50/86,641.80 = 33,737.76/x
  3. Step 3: Cross multiply
    57,769.50x = 86,641.80 × 33,737.76
  4. Step 4: Simplify right side
    57,769.50x = 2,923,100,254.37
  5. Step 5: Solve for x
    x = 2,923,100,254.37/57,769.50
  6. Step 6: Final answer
    x = 50,599.37

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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.