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Finding the Fourth Proportional to 43,608, 65,408.64 and 24,829.08

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Solution

The fourth proportional to 43,608, 65,408.64 and 24,829.08 is: 37,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,608 : 65,408.64 = 24,829.08 : x
  2. Step 2: Convert to fraction form
    43,608/65,408.64 = 24,829.08/x
  3. Step 3: Cross multiply
    43,608x = 65,408.64 × 24,829.08
  4. Step 4: Simplify right side
    43,608x = 1,624,036,355.25
  5. Step 5: Solve for x
    x = 1,624,036,355.25/43,608
  6. Step 6: Final answer
    x = 37,241.71

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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.