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Finding the Fourth Proportional to 33,549.80, 50,332.08 and 10,178.12

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Solution

The fourth proportional to 33,549.80, 50,332.08 and 10,178.12 is: 15,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,549.80 : 50,332.08 = 10,178.12 : x
  2. Step 2: Convert to fraction form
    33,549.80/50,332.08 = 10,178.12/x
  3. Step 3: Cross multiply
    33,549.80x = 50,332.08 × 10,178.12
  4. Step 4: Simplify right side
    33,549.80x = 512,285,950.09
  5. Step 5: Solve for x
    x = 512,285,950.09/33,549.80
  6. Step 6: Final answer
    x = 15,269.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.