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Finding the Fourth Proportional to 33,444.42, 50,173.24 and 12,384.66

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Solution

The fourth proportional to 33,444.42, 50,173.24 and 12,384.66 is: 18,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,444.42 : 50,173.24 = 12,384.66 : x
  2. Step 2: Convert to fraction form
    33,444.42/50,173.24 = 12,384.66/x
  3. Step 3: Cross multiply
    33,444.42x = 50,173.24 × 12,384.66
  4. Step 4: Simplify right side
    33,444.42x = 621,378,518.50
  5. Step 5: Solve for x
    x = 621,378,518.50/33,444.42
  6. Step 6: Final answer
    x = 18,579.44

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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.