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Finding the Fourth Proportional to 33,814.40, 50,678.40 and 16,246.40

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Solution

The fourth proportional to 33,814.40, 50,678.40 and 16,246.40 is: 24,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814.40 : 50,678.40 = 16,246.40 : x
  2. Step 2: Convert to fraction form
    33,814.40/50,678.40 = 16,246.40/x
  3. Step 3: Cross multiply
    33,814.40x = 50,678.40 × 16,246.40
  4. Step 4: Simplify right side
    33,814.40x = 823,341,557.76
  5. Step 5: Solve for x
    x = 823,341,557.76/33,814.40
  6. Step 6: Final answer
    x = 24,348.84

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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.