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Finding the Fourth Proportional to 35,027.80, 52,496.10 and 14,227

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Solution

The fourth proportional to 35,027.80, 52,496.10 and 14,227 is: 21,321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,027.80 : 52,496.10 = 14,227 : x
  2. Step 2: Convert to fraction form
    35,027.80/52,496.10 = 14,227/x
  3. Step 3: Cross multiply
    35,027.80x = 52,496.10 × 14,227
  4. Step 4: Simplify right side
    35,027.80x = 746,862,014.70
  5. Step 5: Solve for x
    x = 746,862,014.70/35,027.80
  6. Step 6: Final answer
    x = 21,321.98

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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.