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Finding the Fourth Proportional to 43,813.40, 65,729.70 and 14,226.20

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Solution

The fourth proportional to 43,813.40, 65,729.70 and 14,226.20 is: 21,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,813.40 : 65,729.70 = 14,226.20 : x
  2. Step 2: Convert to fraction form
    43,813.40/65,729.70 = 14,226.20/x
  3. Step 3: Cross multiply
    43,813.40x = 65,729.70 × 14,226.20
  4. Step 4: Simplify right side
    43,813.40x = 935,083,858.14
  5. Step 5: Solve for x
    x = 935,083,858.14/43,813.40
  6. Step 6: Final answer
    x = 21,342.42

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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.