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Finding the Fourth Proportional to 33,523.20, 50,248.08 and 16,856.64

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Solution

The fourth proportional to 33,523.20, 50,248.08 and 16,856.64 is: 25,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,523.20 : 50,248.08 = 16,856.64 : x
  2. Step 2: Convert to fraction form
    33,523.20/50,248.08 = 16,856.64/x
  3. Step 3: Cross multiply
    33,523.20x = 50,248.08 × 16,856.64
  4. Step 4: Simplify right side
    33,523.20x = 847,013,795.25
  5. Step 5: Solve for x
    x = 847,013,795.25/33,523.20
  6. Step 6: Final answer
    x = 25,266.50

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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.