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Finding the Fourth Proportional to 33,938.70, 50,908.05 and 9,314.70

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Solution

The fourth proportional to 33,938.70, 50,908.05 and 9,314.70 is: 13,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,938.70 : 50,908.05 = 9,314.70 : x
  2. Step 2: Convert to fraction form
    33,938.70/50,908.05 = 9,314.70/x
  3. Step 3: Cross multiply
    33,938.70x = 50,908.05 × 9,314.70
  4. Step 4: Simplify right side
    33,938.70x = 474,193,213.34
  5. Step 5: Solve for x
    x = 474,193,213.34/33,938.70
  6. Step 6: Final answer
    x = 13,972.05

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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.