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Finding the Fourth Proportional to 33,624.50, 50,432.21 and 13,900.32

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Solution

The fourth proportional to 33,624.50, 50,432.21 and 13,900.32 is: 20,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,624.50 : 50,432.21 = 13,900.32 : x
  2. Step 2: Convert to fraction form
    33,624.50/50,432.21 = 13,900.32/x
  3. Step 3: Cross multiply
    33,624.50x = 50,432.21 × 13,900.32
  4. Step 4: Simplify right side
    33,624.50x = 701,023,857.31
  5. Step 5: Solve for x
    x = 701,023,857.31/33,624.50
  6. Step 6: Final answer
    x = 20,848.60

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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.