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Finding the Fourth Proportional to 50,806.82, 76,217.65 and 24,489.92

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Solution

The fourth proportional to 50,806.82, 76,217.65 and 24,489.92 is: 36,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,806.82 : 76,217.65 = 24,489.92 : x
  2. Step 2: Convert to fraction form
    50,806.82/76,217.65 = 24,489.92/x
  3. Step 3: Cross multiply
    50,806.82x = 76,217.65 × 24,489.92
  4. Step 4: Simplify right side
    50,806.82x = 1,866,563,708.77
  5. Step 5: Solve for x
    x = 1,866,563,708.77/50,806.82
  6. Step 6: Final answer
    x = 36,738.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.