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Finding the Fourth Proportional to 43,817.40, 65,735.70 and 14,230.20

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Solution

The fourth proportional to 43,817.40, 65,735.70 and 14,230.20 is: 21,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,817.40 : 65,735.70 = 14,230.20 : x
  2. Step 2: Convert to fraction form
    43,817.40/65,735.70 = 14,230.20/x
  3. Step 3: Cross multiply
    43,817.40x = 65,735.70 × 14,230.20
  4. Step 4: Simplify right side
    43,817.40x = 935,432,158.14
  5. Step 5: Solve for x
    x = 935,432,158.14/43,817.40
  6. Step 6: Final answer
    x = 21,348.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.