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Finding the Fourth Proportional to 100,540.94, 150,829.94 and 33,076.77

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Solution

The fourth proportional to 100,540.94, 150,829.94 and 33,076.77 is: 49,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,540.94 : 150,829.94 = 33,076.77 : x
  2. Step 2: Convert to fraction form
    100,540.94/150,829.94 = 33,076.77/x
  3. Step 3: Cross multiply
    100,540.94x = 150,829.94 × 33,076.77
  4. Step 4: Simplify right side
    100,540.94x = 4,988,966,751.57
  5. Step 5: Solve for x
    x = 4,988,966,751.57/100,540.94
  6. Step 6: Final answer
    x = 49,621.25

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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.