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Finding the Fourth Proportional to 121,957.31, 182,932.43 and 33,211.55

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Solution

The fourth proportional to 121,957.31, 182,932.43 and 33,211.55 is: 49,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,957.31 : 182,932.43 = 33,211.55 : x
  2. Step 2: Convert to fraction form
    121,957.31/182,932.43 = 33,211.55/x
  3. Step 3: Cross multiply
    121,957.31x = 182,932.43 × 33,211.55
  4. Step 4: Simplify right side
    121,957.31x = 6,075,469,836.84
  5. Step 5: Solve for x
    x = 6,075,469,836.84/121,957.31
  6. Step 6: Final answer
    x = 49,816.36

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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.