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Finding the Fourth Proportional to 79,456, 119,184.16 and 33,851.92

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Solution

The fourth proportional to 79,456, 119,184.16 and 33,851.92 is: 50,777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,456 : 119,184.16 = 33,851.92 : x
  2. Step 2: Convert to fraction form
    79,456/119,184.16 = 33,851.92/x
  3. Step 3: Cross multiply
    79,456x = 119,184.16 × 33,851.92
  4. Step 4: Simplify right side
    79,456x = 4,034,612,649.59
  5. Step 5: Solve for x
    x = 4,034,612,649.59/79,456
  6. Step 6: Final answer
    x = 50,777.95

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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.