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Finding the Fourth Proportional to 50,729.36, 76,027.80 and 35,114

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Solution

The fourth proportional to 50,729.36, 76,027.80 and 35,114 is: 52,625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,729.36 : 76,027.80 = 35,114 : x
  2. Step 2: Convert to fraction form
    50,729.36/76,027.80 = 35,114/x
  3. Step 3: Cross multiply
    50,729.36x = 76,027.80 × 35,114
  4. Step 4: Simplify right side
    50,729.36x = 2,669,640,169.20
  5. Step 5: Solve for x
    x = 2,669,640,169.20/50,729.36
  6. Step 6: Final answer
    x = 52,625.15

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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.