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Finding the Fourth Proportional to 33,869.80, 50,753.68 and 30,178.64

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Solution

The fourth proportional to 33,869.80, 50,753.68 and 30,178.64 is: 45,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,869.80 : 50,753.68 = 30,178.64 : x
  2. Step 2: Convert to fraction form
    33,869.80/50,753.68 = 30,178.64/x
  3. Step 3: Cross multiply
    33,869.80x = 50,753.68 × 30,178.64
  4. Step 4: Simplify right side
    33,869.80x = 1,531,677,037.40
  5. Step 5: Solve for x
    x = 1,531,677,037.40/33,869.80
  6. Step 6: Final answer
    x = 45,222.50

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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.