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Finding the Fourth Proportional to 50,535.57, 69,734.39 and 48,837

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Solution

The fourth proportional to 50,535.57, 69,734.39 and 48,837 is: 67,390.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,535.57 : 69,734.39 = 48,837 : x
  2. Step 2: Convert to fraction form
    50,535.57/69,734.39 = 48,837/x
  3. Step 3: Cross multiply
    50,535.57x = 69,734.39 × 48,837
  4. Step 4: Simplify right side
    50,535.57x = 3,405,618,160.25
  5. Step 5: Solve for x
    x = 3,405,618,160.25/50,535.57
  6. Step 6: Final answer
    x = 67,390.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.