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Finding the Fourth Proportional to 33,981.30, 50,951.81 and 10,281.66

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Solution

The fourth proportional to 33,981.30, 50,951.81 and 10,281.66 is: 15,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,981.30 : 50,951.81 = 10,281.66 : x
  2. Step 2: Convert to fraction form
    33,981.30/50,951.81 = 10,281.66/x
  3. Step 3: Cross multiply
    33,981.30x = 50,951.81 × 10,281.66
  4. Step 4: Simplify right side
    33,981.30x = 523,869,135.40
  5. Step 5: Solve for x
    x = 523,869,135.40/33,981.30
  6. Step 6: Final answer
    x = 15,416.39

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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.