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Finding the Fourth Proportional to 24,857.70, 37,286.55 and 22,233.30

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Solution

The fourth proportional to 24,857.70, 37,286.55 and 22,233.30 is: 33,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857.70 : 37,286.55 = 22,233.30 : x
  2. Step 2: Convert to fraction form
    24,857.70/37,286.55 = 22,233.30/x
  3. Step 3: Cross multiply
    24,857.70x = 37,286.55 × 22,233.30
  4. Step 4: Simplify right side
    24,857.70x = 829,003,052.12
  5. Step 5: Solve for x
    x = 829,003,052.12/24,857.70
  6. Step 6: Final answer
    x = 33,349.95

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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.