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Finding the Fourth Proportional to 92,212.80, 138,319.20 and 33,115.20

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Solution

The fourth proportional to 92,212.80, 138,319.20 and 33,115.20 is: 49,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,212.80 : 138,319.20 = 33,115.20 : x
  2. Step 2: Convert to fraction form
    92,212.80/138,319.20 = 33,115.20/x
  3. Step 3: Cross multiply
    92,212.80x = 138,319.20 × 33,115.20
  4. Step 4: Simplify right side
    92,212.80x = 4,580,467,971.84
  5. Step 5: Solve for x
    x = 4,580,467,971.84/92,212.80
  6. Step 6: Final answer
    x = 49,672.80

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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.