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Finding the Fourth Proportional to 121,880.94, 182,821.14 and 33,147.33

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Solution

The fourth proportional to 121,880.94, 182,821.14 and 33,147.33 is: 49,720.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,880.94 : 182,821.14 = 33,147.33 : x
  2. Step 2: Convert to fraction form
    121,880.94/182,821.14 = 33,147.33/x
  3. Step 3: Cross multiply
    121,880.94x = 182,821.14 × 33,147.33
  4. Step 4: Simplify right side
    121,880.94x = 6,060,032,658.56
  5. Step 5: Solve for x
    x = 6,060,032,658.56/121,880.94
  6. Step 6: Final answer
    x = 49,720.92

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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.