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Finding the Fourth Proportional to 51,902.90, 71,625.03 and 31,758.20

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Solution

The fourth proportional to 51,902.90, 71,625.03 and 31,758.20 is: 43,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,902.90 : 71,625.03 = 31,758.20 : x
  2. Step 2: Convert to fraction form
    51,902.90/71,625.03 = 31,758.20/x
  3. Step 3: Cross multiply
    51,902.90x = 71,625.03 × 31,758.20
  4. Step 4: Simplify right side
    51,902.90x = 2,274,682,027.75
  5. Step 5: Solve for x
    x = 2,274,682,027.75/51,902.90
  6. Step 6: Final answer
    x = 43,825.72

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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.