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Finding the Fourth Proportional to 43,648.50, 65,462.37 and 12,057.86

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Solution

The fourth proportional to 43,648.50, 65,462.37 and 12,057.86 is: 18,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,648.50 : 65,462.37 = 12,057.86 : x
  2. Step 2: Convert to fraction form
    43,648.50/65,462.37 = 12,057.86/x
  3. Step 3: Cross multiply
    43,648.50x = 65,462.37 × 12,057.86
  4. Step 4: Simplify right side
    43,648.50x = 789,336,256.38
  5. Step 5: Solve for x
    x = 789,336,256.38/43,648.50
  6. Step 6: Final answer
    x = 18,083.93

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