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Finding the Fourth Proportional to 51,902.40, 71,624.34 and 31,757.70

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Solution

The fourth proportional to 51,902.40, 71,624.34 and 31,757.70 is: 43,825.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,902.40 : 71,624.34 = 31,757.70 : x
  2. Step 2: Convert to fraction form
    51,902.40/71,624.34 = 31,757.70/x
  3. Step 3: Cross multiply
    51,902.40x = 71,624.34 × 31,757.70
  4. Step 4: Simplify right side
    51,902.40x = 2,274,624,302.42
  5. Step 5: Solve for x
    x = 2,274,624,302.42/51,902.40
  6. Step 6: Final answer
    x = 43,825.03

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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.