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Finding the Fourth Proportional to 99,696.80, 149,512.80 and 33,125.60

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Solution

The fourth proportional to 99,696.80, 149,512.80 and 33,125.60 is: 49,677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,696.80 : 149,512.80 = 33,125.60 : x
  2. Step 2: Convert to fraction form
    99,696.80/149,512.80 = 33,125.60/x
  3. Step 3: Cross multiply
    99,696.80x = 149,512.80 × 33,125.60
  4. Step 4: Simplify right side
    99,696.80x = 4,952,701,207.68
  5. Step 5: Solve for x
    x = 4,952,701,207.68/99,696.80
  6. Step 6: Final answer
    x = 49,677.63

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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.