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Finding the Fourth Proportional to 30,950.96, 42,711.84 and 17,524.80

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Solution

The fourth proportional to 30,950.96, 42,711.84 and 17,524.80 is: 24,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.96 : 42,711.84 = 17,524.80 : x
  2. Step 2: Convert to fraction form
    30,950.96/42,711.84 = 17,524.80/x
  3. Step 3: Cross multiply
    30,950.96x = 42,711.84 × 17,524.80
  4. Step 4: Simplify right side
    30,950.96x = 748,516,453.63
  5. Step 5: Solve for x
    x = 748,516,453.63/30,950.96
  6. Step 6: Final answer
    x = 24,183.95

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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.