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Finding the Fourth Proportional to 43,597.81, 65,380.29 and 34,346.80

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Solution

The fourth proportional to 43,597.81, 65,380.29 and 34,346.80 is: 51,507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,597.81 : 65,380.29 = 34,346.80 : x
  2. Step 2: Convert to fraction form
    43,597.81/65,380.29 = 34,346.80/x
  3. Step 3: Cross multiply
    43,597.81x = 65,380.29 × 34,346.80
  4. Step 4: Simplify right side
    43,597.81x = 2,245,603,744.57
  5. Step 5: Solve for x
    x = 2,245,603,744.57/43,597.81
  6. Step 6: Final answer
    x = 51,507.26

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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.