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Finding the Fourth Proportional to 66,856.65, 100,284.17 and 16,255.96

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Solution

The fourth proportional to 66,856.65, 100,284.17 and 16,255.96 is: 24,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,856.65 : 100,284.17 = 16,255.96 : x
  2. Step 2: Convert to fraction form
    66,856.65/100,284.17 = 16,255.96/x
  3. Step 3: Cross multiply
    66,856.65x = 100,284.17 × 16,255.96
  4. Step 4: Simplify right side
    66,856.65x = 1,630,215,467.14
  5. Step 5: Solve for x
    x = 1,630,215,467.14/66,856.65
  6. Step 6: Final answer
    x = 24,383.75

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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.