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Finding the Fourth Proportional to 92,202, 138,321.18 and 33,021.78

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Solution

The fourth proportional to 92,202, 138,321.18 and 33,021.78 is: 49,539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,202 : 138,321.18 = 33,021.78 : x
  2. Step 2: Convert to fraction form
    92,202/138,321.18 = 33,021.78/x
  3. Step 3: Cross multiply
    92,202x = 138,321.18 × 33,021.78
  4. Step 4: Simplify right side
    92,202x = 4,567,611,575.30
  5. Step 5: Solve for x
    x = 4,567,611,575.30/92,202
  6. Step 6: Final answer
    x = 49,539.18

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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.