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Finding the Fourth Proportional to 43,408.40, 65,116.20 and 13,825.40

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Solution

The fourth proportional to 43,408.40, 65,116.20 and 13,825.40 is: 20,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,408.40 : 65,116.20 = 13,825.40 : x
  2. Step 2: Convert to fraction form
    43,408.40/65,116.20 = 13,825.40/x
  3. Step 3: Cross multiply
    43,408.40x = 65,116.20 × 13,825.40
  4. Step 4: Simplify right side
    43,408.40x = 900,257,511.48
  5. Step 5: Solve for x
    x = 900,257,511.48/43,408.40
  6. Step 6: Final answer
    x = 20,739.25

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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.