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Finding the Fourth Proportional to 33,530.98, 50,278.02 and 10,154.38

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Solution

The fourth proportional to 33,530.98, 50,278.02 and 10,154.38 is: 15,225.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,530.98 : 50,278.02 = 10,154.38 : x
  2. Step 2: Convert to fraction form
    33,530.98/50,278.02 = 10,154.38/x
  3. Step 3: Cross multiply
    33,530.98x = 50,278.02 × 10,154.38
  4. Step 4: Simplify right side
    33,530.98x = 510,542,120.73
  5. Step 5: Solve for x
    x = 510,542,120.73/33,530.98
  6. Step 6: Final answer
    x = 15,225.98

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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.