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Finding the Fourth Proportional to 37,950, 52,367 and 22,031.34

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Solution

The fourth proportional to 37,950, 52,367 and 22,031.34 is: 30,400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,950 : 52,367 = 22,031.34 : x
  2. Step 2: Convert to fraction form
    37,950/52,367 = 22,031.34/x
  3. Step 3: Cross multiply
    37,950x = 52,367 × 22,031.34
  4. Step 4: Simplify right side
    37,950x = 1,153,715,181.78
  5. Step 5: Solve for x
    x = 1,153,715,181.78/37,950
  6. Step 6: Final answer
    x = 30,400.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.