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Finding the Fourth Proportional to 50,803.94, 76,255.12 and 24,527.14

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Solution

The fourth proportional to 50,803.94, 76,255.12 and 24,527.14 is: 36,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,803.94 : 76,255.12 = 24,527.14 : x
  2. Step 2: Convert to fraction form
    50,803.94/76,255.12 = 24,527.14/x
  3. Step 3: Cross multiply
    50,803.94x = 76,255.12 × 24,527.14
  4. Step 4: Simplify right side
    50,803.94x = 1,870,320,003.96
  5. Step 5: Solve for x
    x = 1,870,320,003.96/50,803.94
  6. Step 6: Final answer
    x = 36,814.47

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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.