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Finding the Fourth Proportional to 43,406.42, 65,114.30 and 13,817.34

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Solution

The fourth proportional to 43,406.42, 65,114.30 and 13,817.34 is: 20,727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,406.42 : 65,114.30 = 13,817.34 : x
  2. Step 2: Convert to fraction form
    43,406.42/65,114.30 = 13,817.34/x
  3. Step 3: Cross multiply
    43,406.42x = 65,114.30 × 13,817.34
  4. Step 4: Simplify right side
    43,406.42x = 899,706,352.88
  5. Step 5: Solve for x
    x = 899,706,352.88/43,406.42
  6. Step 6: Final answer
    x = 20,727.50

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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.