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Finding the Fourth Proportional to 36,223, 54,339.58 and 34,231

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Solution

The fourth proportional to 36,223, 54,339.58 and 34,231 is: 51,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,223 : 54,339.58 = 34,231 : x
  2. Step 2: Convert to fraction form
    36,223/54,339.58 = 34,231/x
  3. Step 3: Cross multiply
    36,223x = 54,339.58 × 34,231
  4. Step 4: Simplify right side
    36,223x = 1,860,098,162.98
  5. Step 5: Solve for x
    x = 1,860,098,162.98/36,223
  6. Step 6: Final answer
    x = 51,351.30

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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.