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Finding the Fourth Proportional to 33,864.50, 50,808.71 and 15,142.88

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Solution

The fourth proportional to 33,864.50, 50,808.71 and 15,142.88 is: 22,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,864.50 : 50,808.71 = 15,142.88 : x
  2. Step 2: Convert to fraction form
    33,864.50/50,808.71 = 15,142.88/x
  3. Step 3: Cross multiply
    33,864.50x = 50,808.71 × 15,142.88
  4. Step 4: Simplify right side
    33,864.50x = 769,389,868.73
  5. Step 5: Solve for x
    x = 769,389,868.73/33,864.50
  6. Step 6: Final answer
    x = 22,719.66

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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.