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Finding the Fourth Proportional to 32,278.87, 48,399.67 and 12,534.38

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Solution

The fourth proportional to 32,278.87, 48,399.67 and 12,534.38 is: 18,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,278.87 : 48,399.67 = 12,534.38 : x
  2. Step 2: Convert to fraction form
    32,278.87/48,399.67 = 12,534.38/x
  3. Step 3: Cross multiply
    32,278.87x = 48,399.67 × 12,534.38
  4. Step 4: Simplify right side
    32,278.87x = 606,659,550.98
  5. Step 5: Solve for x
    x = 606,659,550.98/32,278.87
  6. Step 6: Final answer
    x = 18,794.33

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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.