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Finding the Fourth Proportional to 53,863.70, 80,764.76 and 16,412.67

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Solution

The fourth proportional to 53,863.70, 80,764.76 and 16,412.67 is: 24,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,863.70 : 80,764.76 = 16,412.67 : x
  2. Step 2: Convert to fraction form
    53,863.70/80,764.76 = 16,412.67/x
  3. Step 3: Cross multiply
    53,863.70x = 80,764.76 × 16,412.67
  4. Step 4: Simplify right side
    53,863.70x = 1,325,565,394.54
  5. Step 5: Solve for x
    x = 1,325,565,394.54/53,863.70
  6. Step 6: Final answer
    x = 24,609.63

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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.