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Finding the Fourth Proportional to 43,393.92, 65,091.96 and 12,228

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Solution

The fourth proportional to 43,393.92, 65,091.96 and 12,228 is: 18,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,393.92 : 65,091.96 = 12,228 : x
  2. Step 2: Convert to fraction form
    43,393.92/65,091.96 = 12,228/x
  3. Step 3: Cross multiply
    43,393.92x = 65,091.96 × 12,228
  4. Step 4: Simplify right side
    43,393.92x = 795,944,486.88
  5. Step 5: Solve for x
    x = 795,944,486.88/43,393.92
  6. Step 6: Final answer
    x = 18,342.30

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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.