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Finding the Fourth Proportional to 43,414.64, 65,127.23 and 12,249.89

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Solution

The fourth proportional to 43,414.64, 65,127.23 and 12,249.89 is: 18,376.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,414.64 : 65,127.23 = 12,249.89 : x
  2. Step 2: Convert to fraction form
    43,414.64/65,127.23 = 12,249.89/x
  3. Step 3: Cross multiply
    43,414.64x = 65,127.23 × 12,249.89
  4. Step 4: Simplify right side
    43,414.64x = 797,801,403.50
  5. Step 5: Solve for x
    x = 797,801,403.50/43,414.64
  6. Step 6: Final answer
    x = 18,376.32

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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.