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Finding the Fourth Proportional to 40,686.82, 60,861.72 and 38,198.50

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Solution

The fourth proportional to 40,686.82, 60,861.72 and 38,198.50 is: 57,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,686.82 : 60,861.72 = 38,198.50 : x
  2. Step 2: Convert to fraction form
    40,686.82/60,861.72 = 38,198.50/x
  3. Step 3: Cross multiply
    40,686.82x = 60,861.72 × 38,198.50
  4. Step 4: Simplify right side
    40,686.82x = 2,324,826,411.42
  5. Step 5: Solve for x
    x = 2,324,826,411.42/40,686.82
  6. Step 6: Final answer
    x = 57,139.55

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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.