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Finding the Fourth Proportional to 33,012.86, 49,527.48 and 16,380.74

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Solution

The fourth proportional to 33,012.86, 49,527.48 and 16,380.74 is: 24,575.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012.86 : 49,527.48 = 16,380.74 : x
  2. Step 2: Convert to fraction form
    33,012.86/49,527.48 = 16,380.74/x
  3. Step 3: Cross multiply
    33,012.86x = 49,527.48 × 16,380.74
  4. Step 4: Simplify right side
    33,012.86x = 811,296,772.74
  5. Step 5: Solve for x
    x = 811,296,772.74/33,012.86
  6. Step 6: Final answer
    x = 24,575.17

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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.